Fibre inflation, Poly-instanton inflation and (Loop) Blow-up inflation are among the most popular Kähler moduli based inflationary models realized in the standard LARGE volume scenarios (LVS). In this article, we present a unified framework in which all these three LVS inflationary models can be realized by using (different orientifolds of) a single Calabi-Yau (CY) threefold. In fact, the desired CY threefold needs to have a K3- or ${\mathbb T}^4$-fibration structure along with two diagonal del Pezzo divisors, and a so-called `Wilson' divisor which corresponds to a surface realized as a ${\mathbb P}^1$ fibration over ${\mathbb T}^2$s. For classification purpose, we perform a detailed scan of the CY geometries with $1 \leq h^{1,1}({\rm CY}) \leq 6$ that arise from the triangulation of the four-dimensional reflexive polytopes of the Kreuzer-Skarke database. In this regard, after scanning around 100,000 CY geometries and the corresponding topologies of around a million of toric divisors, we find two CY threefolds satisfying these requirements for $1 \leq h^{1,1}({\rm CY}) \leq 4$, while there are 14 and 45 candidate CY geometries for $h^{1,1}({\rm CY}) = 5$ and $h^{1,1}({\rm CY}) = 6$, respectively. We discuss the extended applications of such CY threefolds for cosmological model building in string theoretic frameworks.

We investigate the formation of light nuclei and hypernuclei in Au+Au collisions at $\sqrt{s_{NN}}=3~\mathrm{GeV}$ within a coalescence framework embedded in the microscopic N-body Parton-Hadron-Quantum-Molecular Dynamics (PHQMD) transport model. The Wigner phase-space distributions employed in the coalescence calculation are constructed from realistic $N$-body wave functions obtained by solving the Schrödinger equation in the hyperspherical harmonics formalism, providing a solid and parameter-free description of nuclear clusters and hypernuclei. By comparing calculated rapidity distributions with STAR data, we extract species-dependent coalescence times, revealing a non-universal formation pattern among different clusters. The resulting yields and kinematic distributions of light nuclei and hypernuclei are systematically analyzed and shown to be sensitive to the underlying wave-function structure and formation time. In addition, we explore cluster-nucleon formation channels for $A=4$ systems. These additional channels improve the description of ${}^{4}\mathrm{He}$ and ${}^{4}_Λ\mathrm{H}$ yields and help address the underestimation of $A=4$ cluster production in theoretical approaches. Finally, we provide predictions for heavier hypernuclei, including ${}^{5}_Λ\mathrm{He}$ and ${}^{5}_{ΛΛ}\mathrm{He}$, which are of interest for future experimental measurements.

Establishing collective flow in small collision systems is crucial for pinning down the minimum conditions for quark-gluon plasma (QGP) formation. In two-particle correlations, nonflow has been subtracted with good control, pushing the reach of flow measurements down to very small particle multiplicities $N$. However, the multi-particle nature of collectivity has not been established in the same $N$ regime, because the residual nonflow surviving the subevent procedure in multi-particle cumulants has never been quantified. We develop a general nonflow subtraction framework for $m$-particle cumulants, built around the approximate $1/N^{m-1}$ scaling of nonflow in the independent-source picture. Correlators containing $v_1$ serve as clean nonflow estimators, since the $p_{\rm T}$-integrated dipolar flow nearly vanishes. Using \HIJING{} as a controlled nonflow-only environment, we test the subtraction for three target observables ($\langle v_2^2\rangle$, $\langle v_2^2δp_{\rm T}\rangle$, and $c_2\{4\}$) in O+O and $d$+Au at $\sqrt{s_{\rm NN}} = 5.36$ TeV and 200 GeV. Most of the nonflow is removed, with residual fractions typically within 20--30% when converted to the two-particle level, though the best estimator differs across the three targets. We identify a multiplicity-reweighting correction, previously overlooked in two-particle correlations, that explains the long-standing undersubtraction of the naive $1/N$-scaling method; its impact grows as a power of the correlator order. The framework gives a systematic route to nonflow subtraction beyond two-particle correlations, broadening the class of multi-particle observables accessible to the small-system flow program.

We show that axions coupled to photons in F-theory Grand Unified Theories (GUTs) satisfy the coupling-to-mass relation $g_{aγ}/m_a \leq C\, \frac{α_{\rm em}}{2π}\frac{1}{m_πf_π}$, with $C$ a calculable coefficient. This bound is saturated for the QCD axion with $C = \mathcal{O}(1)$ and holds in field theoretic and perturbative heterotic GUT constructions. In F-theory, topological GUT symmetry breaking by hypercharge flux introduces axion-like particles (ALPs) coupled to photons without coupling to QCD. These ALPs arise from the non-universal holomorphic threshold corrections to the gauge kinetic functions induced by the hypercharge flux. When gauge couplings approximately unify near the string scale, as required in phenomenologically viable models, the shift symmetries of these ALPs are broken by D-instantons whose action is controlled by the size of the threshold corrections to the gauge couplings. Small corrections imply unsuppressed instantons and heavy ALPs. We compute the resulting axion potentials and show that the coupling-to-mass ratio $g_{aγ}/m_a$ for every non-universal ALP lies well below the QCD axion prediction. We consider possible loopholes to this result -- some of which could lead to $C\gg 1$ -- and argue that none of them allows for $g_{aγ}/m_a$ to be arbitrarily above the QCD axion prediction within regions of control for the effective action. The bound persists in models with large threshold corrections, where new incomplete GUT multiplets at intermediate energy scales are required. As a result, in the geometric regime, where the $α'$ expansion is under control, no ALP parametrically above the QCD axion band exists. Our results make F-theory GUTs falsifiable: finding an ALP far above the QCD band, for example discovering axion-induced cosmic birefringence, rules out F-theory GUTs in regimes of control of the effective theory.

Feynman integrals may be viewed as generalized hypergeometric functions, and specifically as solutions of GKZ systems of partial differential equations that typically exhibit resonance. Resonance is a type of non-genericity implying reducibility to subsystems. We use this resonance to construct reduction operators, which are differential operators that can contract edges of Feynman graphs. Correspondingly, their action is naturally compatible with cuts of Feynman graphs. Reduction operators may be used to close the system of differential equations for a given integral. The remaining GKZ data lead to algebraic relations identifying a smaller system that is fully reduced to master integrals. We develop the construction for one-loop, sunrise and banana graphs and discuss restrictions to physical kinematics. While reduction operators can generally shift both propagator powers and spacetime dimension, certain combinations isolate a pure dimension shift together with contraction of a chosen edge.

We present MATChing HEFT Amplitudes (MATCHA), a Mathematica package designed for leading-order (LO) matching of an ultraviolet (UV) model to the Higgs Effective Field Theory (HEFT). MATCHA performs the matching of non-decoupling effects $\mathcal{O}(1)$ to the LO HEFT lagrangian for an arbitrary number of Higgs fields. The main benefit of \heftmatcha is that it is built on existing packages such as \texttt{FeynArts} and \texttt{FormCalc}, which are familiar to the user, and directly benefits from the established features of these packages. In addition, \heftmatcha is designed to require minimal input from the user, requiring solely the \texttt{FeynRules} output files and the desired order of expansion. In this way, \heftmatcha provides the leading low-energy couplings capturing non-decoupling effects of HEFT.

Forward jet production in proton--nucleus collisions probes a dilute projectile scattering from a dense small-$x$ nuclear gluon field, while the charged-particle multiplicity inside the jet probes the final-state cascade in the jet cone. We develop a factorization framework for single-inclusive forward jets with an internal multiplicity measurement by combining the Color Glass Condensate (CGC) description of the production process with soft-collinear effective theory (SCET) semi-inclusive jet functions. The construction preserves the inclusive limit exactly: at zero multiplicity weight it reduces to the known inclusive next-to-leading order (NLO)/resummed CGC forward-jet cross section. We define the multiplicity-measured jet operator in a CGC background, formulate the matching that separates PDF, BK/JIMWLK, Sudakov, SiJF, and multiplicity-evolution radiation, and identify the Wilson-line resolution mechanism through which saturation can modify the internal multiplicity evolution. The resulting framework shows that high-multiplicity forward jets are sensitive both to the quark/gluon mixture generated by the CGC production kernel and to finite-$Q_s$ corrections when an early in-cone splitting is resolved by the target. A baseline numerical implementation validates the factorized structure and illustrates the resulting multiplicity-conditioned nuclear modification.

The endpoint region $ζ\to1$ of the NLO forward jet vertex has not been systematically separated from BFKL energy-scale terms in Mueller-Navelet phenomenology. Starting from the small-cone NLO vertex, we isolate the quark and gluon plus distributions and construct a BFKL-aware threshold matching scheme that preserves exact NLO accuracy. The conservative Scheme-II exponent resums only the ordinary endpoint logarithms and leaves the $χ(n,γ)\ln\bar N$ term in the fixed-order coefficient, avoiding an uncontrolled tower of mixed endpoint-BFKL logarithms. In fixed-baseline CMS tests, this matched vertex is a controlled deformation of an optimized-NLL pointwise BLM/MOM calculation: it moves $R_{21}=C_2/C_1$ in the high-$ΔY$ direction favored by CMS, but it does not improve $C_1/C_0$ or $R_{32}=C_3/C_2$ in the same prescription. A coefficient-projected table-BLM diagnostic improves the absolute moments but lowers $R_{21}$ and is sensitive to the large-$|ν|$ tail. Thus the endpoint matching is internally consistent and phenomenologically informative, while the present setup does not provide a simultaneous description of all five CMS azimuthal observables.

We investigate the pion gravitational form factors (GFFs) at intermediate and large momentum transfer within the framework of QCD factorization. Our analysis centers on the non-Abelian $TJJ$ correlator, which couples the local QCD energy-momentum tensor to two external gluon fields and explicitly encodes the perturbative effects of the trace anomaly. We demonstrate how this quantum anomaly induces a scalar, dilaton-like contribution to the hard-scattering kernel. To ensure field-theoretic consistency, a careful separation of the quark and gluon sectors is performed, accounting for the modifications introduced by gauge-fixing terms and Slavnov-Taylor identities on the off-shell gluonic structure. To obtain realistic phenomenological predictions and regulate soft-gluon endpoint divergences in the hard kernel, we implement the Sudakov resummation framework coupled with a Gaussian model for the pion's transverse-momentum-dependent wave function. We show that the resulting anomaly-induced corrections significantly modify the behavior of the pion GFFs at large momentum transfer, leaving a unique imprint on the trace sector and the $D$-term.

We investigate the magnetic moments of octet baryons in isospin asymmetric strange hadronic matter under strong external magnetic fields within a unified theoretical framework by combining the chiral SU(3) quark mean field (CQMF) model with the chiral constituent quark ($χ$CQM) model. At finite temperature, the inclusion of Dirac sea (DS) effect leads to magnetic catalysis attributing to the enhancement of scalar condensates with increasing magnetic field strength. As a consequence, the effective masses of the octet baryons exhibit a monotonic increase as a function of magnetic field. The results highlight the crucial role of vacuum polarization effects in determining the electromagnetic properties of baryons in strongly magnetized matter having relevance in heavy-ion collision and compact stars.

The hypothesis of a violation of isospin-symmetry in pp and AA collisions is discussed. We show that the ratio of charged-to-neutral kaon cross sections, $R_K~=~\frac{σ_{K^+}+σ_{K^-}}{2σ_{K^0_S}}$, calculated within the similarity approach, including the gluon transverse momentum dependence (TMD) at low QCD scales, and using the Lund model in the form of the MC generator PYTHIA, is above 1 at energies $\sqrt{s}$ up to 20 GeV, even in the case of isospin-symmetry conservation. It decreases to 1, when the energy rises to a few TeV (ALICE data). The reason for this is related to the dynamics of kaon production. This energy behavior of $R_K$ does practically not depend on the sort of beam or target.

This chapter provides an overview of the fundamental framework of scattering theory, which is widely used in particle physics to describe and interpret interactions among elementary particles. We explore how transition amplitudes enable the analysis of data from scattering experiments and the extraction of resonance parameters. The concepts and methods discussed are essential for understanding processes studied at major accelerator facilities worldwide and in a broad range of hadronic and nuclear systems.

We perform a calculation of the invariant mass distributions in the $ψ(3686) \to Λ\bar Λη$ reaction, where a neat peak for the excitation of the $Λ(1670)$ and $\bar Λ(1670)$ in the $ηΛ$ and $η\bar Λ$ mass distributions, respectively, is observed. Our approach uses the fact that the $ψ(3686)$, a $c \bar c$ state, is a singlet of SU(3) in the $u,d,s$ quarks and constructs the two flavor structures allowed with a pseudoscalar meson, a baryon and an antibaryon. The resonance peaks come from the final state interaction of meson baryon pairs, which generate the $ Λ(1670)$ in our approach. With a reasonable relative weight of the two flavor structures, the only free parameter of the theory, we are able to get the three mass distributions in good agreement with experiment, giving extra support to the molecular structure of the $Λ(1670)$ resonance. The agreement with data improves with an extra resonance contribution with mass around 2200 MeV.

We present a detailed study of the $pp\to h\toγγ$ process in the HPOprodMFV\_UFO model framework, focusing on the Higgs-gluon effective coupling modifier, $κ_g$. We generate events for 26 parameter points corresponding to $|κ_g|$ values ranging from 0.6 to 1.4 using MadGraph5\_aMC@NLO simulations at 13 TeV with NNPDF3.1 parton distribution functions. These events are processed through Pythia8 for parton showering and hadronisation. This is followed by a fast detector simulation using Delphes with an ATLAS-like configuration and analysis with MadAnalysis5. We verify the expected quadratic scaling, $σ(pp \to h \to γγ) \propto κ_g^2$, with high precision, confirming the consistency of our simulation framework. The Standard Model cross section after the application of selection cuts is found to be $σ_{\mathrm{SM}} = 0.04067 \pm 0.00008$ pb. By comparing our results with the ATLAS Run 2 likelihood profile from HEPData (HEPData:ins1851456), we derive constraints on $|κ_g|$: \begin{align*} |κ_g| &\in [0.80,\, 1.20] \quad \text{at 68\% CL}, |κ_g| &\in [0.70,\, 1.30] \quad \text{at 95\% CL},. \end{align*} These results are in excellent agreement with the official ATLAS and CMS combinations. Our analysis validates the HPOprodMFV\_UFO model implementation and demonstrates the effectiveness of simplified simulations in exploring Higgs couplings in the diphoton channel. }

We establish the general functional form of the energy-momentum-tensor two-point function in Euclidean coordinate space at zero and finite temperature. The full correlation function is first decomposed into its fundamental tensorial structures based on the remaining rotational symmetry. We use energy-momentum conservation to derive differential relations between the resulting component functions. Using these constraints, the full set of component functions of the correlator can finally be represented in the form of a smaller set of spectral functions. Finally, we show how to use these techniques for more efficient future lattice investigations.

The axial-vector form factor for the decay of pion $π^{+} \rightarrow γ+ e^{+} + ν_e$ is calculated by using the pseudovector coupling pion-nucleon interaction with the non-perturbative term. The self-energy is approximated by the lowest-order constant. The parameter is significant to improve the value of the form factor as well as the vector form factor in our previous study.

We solve the Goldstone-boson-exchange (GBE) relativistic constituent quark model of light and strange baryons by using the Faddeev approach. The model reproduces the vacuum mass spectrum of light and strange baryons below $2$ GeV reasonably well. To test the sensitivity of the model to possible medium-induced effects, we vary the masses of the constituent quarks and the exchange bosons, the confinement strength, and the quark-meson coupling constant. In a parametric study, we consider a set of power law scaling relations for these parameters, including some motivated by constituent quark level current algebra relations. We find that the baryon spectrum is most sensitive to the quark-meson coupling constant, and generally observe a decrease in baryon mass with decreasing constituent quark mass. We qualitatively estimate the impact of these mass shifts on ideal-gas baryon yields and yield ratios. Absolute yields can change significantly already for mass shifts of a few $10$~MeV, whereas yield ratios are strongly modified only when the compared baryons have different constituent-quark-mass dependence.

Following previous work, the Algebra of Physical Space (APS) is used to explore Wigner-covariance and spin/helicity fields within the Constructive Standard Model (CSM) of Particle Physics. The spinor formalism of the APS is used to derive explicit Wigner-covariance of Lorentz spinors, and equivalencies with the CSM are demonstrated via the Scattering Algebra (SA). Constructive fields for spin-1/2 and spin-1 are given in the APS and the necessary maps for Wigner-covariance are proposed. The forms of these spin fields are equivalent to Pauli spinors, thereby serving as a new bridge between the CSM and the study of Quantum Information. It is further seen that spin-1/2 fields of the APS are equivalent to the spin-1/2 fields in the CSM, but the massless cases cannot yet be handled within the SA due to various complications. Similarly, while spin-1 fields exist inside the APS, their SA equivalents deviate from the originally proposed spin-1 fields of the CSM; so further work is needed to prove correspondence between spin-1 fields of the APS and the CSM. Sample Lagrangian densities of the CSM are analyzed using the methods herein, are given geometric interpretations, and are connected to traditional Pauli Theory. Finally, the hff (Higgs and two massive fermions) Lagrangian density is used to determine the first constructive scattering amplitude that is defined purely in terms of the APS. Concerningly, this leads to an anti-Hermitian action term, and this surprise is later confirmed using traditional CSM techniques. Throughout this paper, the illuminating power of Geometric Algebra is clear: Everything has a geometric interpretation, and results can be accomplished matrix-free as well as coordinate-free.

We propose high-multiplicity final-state signatures, such as $e^+e^-\to N\overline{N}\to \ell^+\ell^+ 4j$ with $\ell$ denoting $e,~μ$, $τ$, as probes of lepton number violation (LNV) at FCC-ee, featuring negligible Standard Model background. In contrast to conventional searches such as $pp\to \ell^+ N \to \ell^+ \ell^+ jj$ or the process $e^+e^-\toνN$, which are suppressed by the small neutrino masses in conventional seesaw scenarios, the minimal linear seesaw picture avoids this suppression. This enables a direct LNV probe from final-state topology, with over $\mathcal{O}(10^3)$ events expected at FCC-ee. Besides probing the Majorana nature of neutrinos, this offers a novel avenue to test the neutrino mass ordering established by oscillation experiments in a high-energy collider setting.

Entanglement and non-stabilizerness (magic) quantify two distinct departures of quantum systems from classical description: the former measures non-local correlations, while the latter measures the deviation from stabilizer states that can be efficiently simulated classically. Understanding magic in physically relevant quantum field theories is essential for identifying where quantum advantage may be realized in the early fault-tolerant quantum computing era. We calculate the gauge-invariant entanglement entropy and stabilizer Rényi entropy of the ground state of the (1+1)-dimensional SU(2) lattice gauge theory formulated in a dressed-site basis that enforces Gauss's law exactly. Using tensor networks, we obtain results for system sizes up to $L=100$ (300 qubits). We find a crossover denoted by $g_{\star}$ where the ground state passes from a more magic-rich regime into a regime with less magic; this is also tracked by the sharpest change of both the entanglement entropy and lattice particle density. Our large-scale study of non-stabilizerness and entanglement entropy in a non-Abelian lattice gauge theory with matter provides new insight into the interplay of magic and entanglement in gauge theories, both of which are relevant for classical and early fault-tolerant quantum simulations.

We respond to the comment by Matteo Giordano [1] on our article [2]. We find -- and [1] itself acknowledges -- that the proposed counterexamples intended to refute our argument violate a crucial assumption of QCD at high temperatures, namely that every gluonic observable is an analytic function of the squared quark mass, $m^2$. We further point out a technical mistake found in [1]. We conclude that the arguments presented in [1] are not valid.

We study the dynamics of a heavy quark in a thermal plasma consisting of non-perturbatively interacting soft momentum gluons at high temperatures, described in terms of an effective theory of QCD discretized on a three-dimensional lattice. We propose a numerical strategy that allows us to simulate the dynamics of a heavy quark for different values of initial momenta in this thermalized plasma. This allows, for the first time, to extract the momentum dependence of the heavy quark drag and diffusion coefficients in a non-perturbatively interacting thermal, non-Abelian plasma.

The evaluation of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment requires precise knowledge of the pion transition form factor (TFF). In this work, we present a feasibility study for a combined analysis of lattice QCD (LQCD) and experimental data. Our methodology is driven by the goal of combining complementary datasets to leverage their respective kinematic advantages: while LQCD provides robust predictions for the doubly-virtual TFF, $e^+e^-$ scattering experiments offer high-precision singly-virtual measurements up to large momentum transfers. To ensure a statistically rigorous combination, we implement a global one-stage fitting approach based on the modified $z$-expansion, utilizing synthetic jackknife replicate sampling and a normalized $χ^2$ weighting scheme. We demonstrate that the inclusion of experimental data substantially tightens the constraints on the pion TFF, yielding up to a factor of three reduction in uncertainty in the singly-virtual limit. In contrast, the uncertainty of the resulting pion-pole contribution to the muon $g-2$ improves by a factor of $1.5$. This more modest improvement reflects the fact that the $g-2$ integral is heavily dominated by the low-$Q^2$ region, which is already well constrained by physical normalization constraints.

The matrix element method (MEM) provides a fully probabilistic approach to confront experimental events with theory, retaining all correlations in the scattering matrix element. While leading-order MEM is widely used and automated, extending it to next-to-leading order (NLO) in QCD is challenging due to infrared divergences, negative weights, extra final-state partons, and multi-dimensional phase-space integration. We demonstrate that the POWHEG method offers a practical path to MEM at NLO accuracy. By projecting real-emission events onto Born kinematics via the mappings inherited from the $\tilde{B} (Φ)$ function, our method consistently includes the hardest QCD radiation while preserving the NLO-accurate normalization. As a proof of concept, we apply it to fully leptonic $W^+ W^-$ production in the Standard Model (SM) effective field theory, focusing on a CP-even dimension-six triple-gauge-boson operator. Our NLO MEM implementation acts as a near-optimal classifier, exploiting spin- and polarization-dependent correlations among the final-state leptons to efficiently distinguish beyond-the-SM (BSM) from SM events. This demonstrates the potential of MEM at NLO for precision studies of electroweak processes and subtle BSM effects.

Instantons are non-perturbative classical solutions which describe transitions between different QCD vacua. They have never been observed experimentally. We consider the signatures of the instanton (sphaleron) production events and the main QCD backgrounds. The possibilities to search for the QCD instantons in the diffractive (i.e. with a large rapidity gap) events at the LHC and via the spin-spin correlations between two hyperons at NICA are discussed.

Probability theory provides a clear definition of what is meant by evidence in favor, against or none either way, of an event occurring for an unobserved response, via the principle of evidence. This is immediately applicable when carrying out a proper Bayesian analysis. Even without a prior, this imposes restrictions on reported inferences as these need to reflect the likelihood ordering. Relative belief inferences satisfy this requirement and, when the errors in these inferences are controlled, they also satisfy repeated sampling, or frequentist, requirements such as achieving given confidence levels. Relative belief inferences are considered here for the construction of intervals for uncertainty quantification in the context of a Poisson model for a signal with background noise. These intervals are contrasted with the well-known Feldman-Cousins intervals for this problem.

The relative abundances and kinematic distributions of hadrons containing (anti)charm quarks are key observables for deconfinement, heavy-quark diffusion and hadronization in heavy-ion collisions. The production of (anti)charm quarks is commonly associated to the initial hard scatterings in hadronic collisions. Based on previous studies on dilepton production, we evaluate the (anti)charm quark production from the pre-equilibrium phase. A non-negligible contribution to the overall charm quark production is found albeit large theoretical uncertainties are limiting factors. We conclude that precise total charm production measurements combined with progress on charm production calculations from the initial hard scatterings can be used to infer information on the pre-equilibrium stage.

We extend the baryo-charmonium picture of pentaquarks -- a color-octet $c\bar c$ core bonded to a color-octet light-quark cloud -- to the doubly-strange sector $c\bar c ssq$. The mass splittings are set entirely by the light cloud, so the only new inputs are the strange-strange couplings $J^{ss}$, fixed by a second application of the chromomagnetic scaling, and an additive strange-mass increment taken from the observed $P_c\!\to\!P_{cs}$ shift. We obtain two negative-parity triplets, one produced with a kaon and one with an antiproton, the lowest kaon-associated $\tfrac12^-$ state near $4.60$~GeV and the antiproton-associated triplet some $120$~MeV below. The robust, distinctive prediction is that the upper two kaon-associated states form a near-degenerate doublet, in sharp contrast to the well-separated triplets of the lighter sectors -- a sparse, fixed-spacing pattern that sets the scheme apart from the molecular and diquark alternatives. The internal splittings follow without adjustment from the measured $P_c$ and $P_{cs}$ spectra; the absolute scale relies on the additive strange-mass ansatz, the main assumption of the extrapolation. The predicted masses agree with recent molecular coupled-channel and QCD sum-rule results.

The Search for Hidden Particles (SHiP/NA67) is a general-purpose, high-intensity beam dump experiment approved in 2024 for the future exploitation of the ECN3 experimental hall at the CERN Super-Proton-Synchrotron in conjunction with the new Beam Dump Facility (BDF). It will collect $6\times10^{20}$ protons on target over $\sim$15 years of operation. SHiP is designed to probe the largely underexplored domain of feebly interacting particles with masses in the $\mathcal{O}(100~\mathrm{MeV})$ to few-GeV range, providing leading sensitivity to most models predicting particles within this range, notably heavy neutral leptons, dark photons, dark scalars, axion-like particles and light dark matter. The intense flux of neutrinos of all flavours produced in the dump additionally enables a rich Standard Model and neutrino-physics programme with notably $\mathcal{O}(10^3)$ $ν_τ$ per year of operation, thus bringing forward a study of $ν_τ$ phenomenology. This contribution summarises the physics motivation, the experimental concept and the detector subsystems, and outlines the expected sensitivity and timeline.

ALETHEIA is a self-completing tool for monitoring the learning of manifolds in physics foundation models from data. It provides a method to automatically build physics foundation models for permutation-invariant per-event representations of unknown physics manifolds. This process is demonstrated here for dimension-six Standard Model Effective Field Theory (SMEFT) content of four operators in neutral-current Drell-Yan, whose input is unordered event-level features, and we drive it with an active-learning loop that separates two jobs that the literature usually conflates. Active learning completes a representation: given a fixed operator content, an acquisition rule chooses the working points that pin the model's coefficients fastest. The physics expands it: which new operator to switch on is read from the residual structure, ordered by SMEFT power counting, never guessed by the acquisition. The representation is the ManifoldInformer, a permutation-invariant per-event encoder $ψ_θ$ pooled into a closed-form ridge head; its latent recovers the analytic morphing tangents ($R^2=0.999$) and curvatures ($R^2=0.954$) of the SMEFT cross section. The loop monitors a residual-operator fingerprint: when a single out-of-span direction dominates, it appends that direction to $ψ_θ$ ($ψ$-extension) and refits. The acquisition arm unlocks new operators through an Arize-Phoenix span, such that the concepts of ``learning correctly'', in which each extension collapses $σ_1$; and ``learned completely'', in which $σ_1$ is below the noise floor; are read directly off the monitored trace.