Wed·Feb 12, 2025Wednesday·February 12, 2025

1. 01*

   Conformal Freeze-in Dark Matter: 5D Dual and Phase Transition

   Lillian Luo🇺🇸 · Maxim Perelstein🇺🇸

   Conformal Freeze-in (COFI) scenario postulates a dark sector described by a conformal field theory (CFT) at energies above the ``gap scale" in the keV$-$MeV range. At the gap scale, the dark CFT undergoes confinement, and one of the resulting bound states is identified as the dark matter candidate. In this paper, we study this model in the context of the AdS/CFT correspondence with a focus on the mechanism of the infrared (IR) breaking of conformal invariance in the dark sector. We construct the holographic dual to the conformal dark sector, given by a Randall-Sundrum-like model in 5D, where the Standard Model (SM) fields and the dark matter candidate are placed on the ultraviolet (UV) and IR branes respectively. The separation between the UV and IR branes is stabilized by a bulk scalar field, naturally generating a hierarchy between the electroweak scale and the gap scale. We find that the parameter space of COFI comprises two distinct branches of CFT's living on the Anti-de-Sitter (AdS) boundary, each corresponding to a different UV boundary condition. The two branches of CFT's result in different radion potentials. The confinement of the CFT is dual to the spontaneous symmetry breaking by the 5D radion potential. We then use this dual 5D setup to study the cosmological confining phase transition in the dark sector. We find the viable parameter space of the theory which allows the phase transition to complete promptly without significant supercooling.

   hep-phJHEP(2025)·4 citations
2. 02*

   Constraining the SMEFT Extended with Sterile Neutrinos at FCC-ee

   Patrick D. Bolton🇸🇮 · Frank F. Deppisch🇬🇧 · Suchita Kulkarni🇦🇹 · Chayan Majumdar🇬🇧 · Wenna Pei🇬🇧

   We investigate how extensions of the Standard Model (SM) involving heavy neutral leptons (HNLs) can be probed at FCC-ee, the proposed high-energy circular $e^{+}{e}^{-}$ collider. Using the effective field theory (EFT) approach, we determine the impact of new interactions on the production and decay of HNLs at FCC-ee. In particular, we consider $d\le 7$ $\nu$SMEFT operators which induce vector, scalar and tensor four-fermion and effective charged- and neutral-current interactions of HNLs, that may also mix with the active neutrinos of the SM. We consider sensitivities to the active-sterile mixing and EFT Wilson coefficients from monophoton searches and displaced vertex decay signatures. In both analyses, we consider the scenarios where HNLs are Majorana or Dirac fermions. We translate the upper bounds on the Wilson coefficients to lower limits on the scale of new physics.

   hep-phJHEP(2025)·14 citations
3. 03*

   WilloWISPs: A New Dark Growth Channel for Black Holes Suggests a Full-Spectrum Hierarchical MACHO Mass Function for Dark Matter

   Zachary R. Smith🇺🇸 · Neil F. Comins🇺🇸

   Evidence of neutron stars with deconfined quark-matter cores suggest a new pathway for the evolution of black holes. New theories about the cores of neutron stars support the idea that quarkonium is likely to grow there as the neutron star ages. Surveys of stellar remnants have shown that there is no major mass gap between neutron stars and black holes. Black holes, specifically primordial ones (PBHs), have been suggested as an explanation for dark matter before. However, the way that very large black holes can form in the lifetime of the visible universe has only recently been explained with a promising solution to The Final Parsec Problem. If neutron stars can become exotic stars or black holes surrounded by axions, then they may allow Intermediate-Mass Black Holes (IMBH) and Supermassive Black Holes (SMBH) to form quickly enough via coalescence. We find that a hierarchical clustering of Massive and Compact Halo Objects (MACHOs) with axion-dominated mini-halos can help to explain all of the missing dark matter. The model presented here suggests that this type of MACHO is likely equivalent to black holes above an unknown critical mass, which is less than ~1 $M_{\odot }$, and that they ought to be quark stars below this mass. If quark stars are a transition state between neutron stars and black holes, then black holes ought to be equivalent to boson stars, after all the residual quark material has formed a Bose-Einstein condensate of strange mesons.

   hep-phastro-ph.GAastro-ph.HEastro-ph.SR+20 citations
4. 04*

   Collider Prospects for the Neutrino Magnetic Moment Portal

   Vedran Brdar🇺🇸 · Ying-Ying Li🇨🇳 · Samiur R. Mir🇺🇸 · Yi-Lin Wang🇨🇳

   The transition magnetic moment between active and sterile neutrinos is theoretically well-motivated scenario beyond the Standard Model, which can be probed in cosmology, astrophysics, and at terrestrial experiments. In this work, we focus on the latter by examining such an interaction at proposed lepton colliders. Specifically, in addition to revisiting LEP, we consider CEPC, FCC-ee, CLIC, and the muon collider, motivated by the potential realization of any of them. Within the effective field theory framework, we present parameter regions that can be probed, highlighting the dependence on the lepton flavor interacting with the sterile neutrino. By including several new processes with large sterile neutrino production cross sections at high-energy lepton colliders, we find that the expected sensitivity for the active-to-sterile neutrino transition magnetic moment can reach $d_{\gamma }\simeq \mathcal{O}(10^{-7})$ GeV${}^{-1}$.

   hep-phhep-exJHEP(2025)·9 citations
5. 05*

   Accelerating Berends-Giele recursion for gluons in arbitrary dimensions over finite fields

   Juan M. Cruz-Martinez🇨🇭 · Giuseppe De Laurentis🇬🇧 · Mathieu Pellen🇩🇪

   This work provides a proof of concept for the computation of pure gluonic amplitudes in quantum chromodynamics (QCD) on graphics processing units (GPUs). The implementation relies on the Berends-Giele recursion algorithm and, for the first time on a GPU, enables the numerical computation of amplitudes in an arbitrary number of space-time dimensions and over finite fields. This demonstrates the advantages of hardware acceleration, not only for the computation of tree-level amplitudes for real-radiation processes in four dimensions over complex numbers but also for generating loop integrands for virtual corrections in $d$ dimensions over finite fields. The associated computer program is publicly available.

   hep-phphysics.comp-phEPJC(2025)·8 citations
6. 06*

   Wigner-like Parametrization of Canonical Seesaw Models

   Shun Zhou🇨🇳

   In this paper, we introduce the Wigner parametrization of unitary matrices and then apply it to the full description of canonical seesaw models, which extend the Standard Model with three right-handed neutrino singlets and account simultaneously for tiny Majorana neutrino masses and the baryon number asymmetry in the Universe. In the Wigner parametrization, the strong hierarchy between the electroweak scale ${\Lambda }_{\mathrm{EW}}^{}\approx 10^2\mathrm{GeV}$ and the seesaw scale ${\Lambda }_{\mathrm{SS}}^{}\approx 10^{14}\mathrm{GeV}$ is generally captured by three small rotation angles $\{{\vartheta }_1^{},{\vartheta }_2^{},{\vartheta }_3^{}\}\approx \mathcal{O}({\Lambda }_{\mathrm{EW}}^{}/{\Lambda }_{\mathrm{SS}}^{})$, and all the remaining parameters reside in four $3\times 3$ unitary matrices. The connection between the Wigner parametrization and those in the literature is also established.

   hep-phhep-ex2 citations
7. 07*

   QCD analysis of $B\to \pi \pi$ form factors and the $|V_{ub}|$ extraction from $B_{l4}$ decays

   Shan Cheng🇨🇳

   The $B_{l4}$ decays offer an independent method for determining the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}|$, with a QCD analysis of the underlying $B\to \pi \pi$ form factors serving as a crucial component. We present a comprehensive QCD analysis of the $B\to \pi \pi$ form factors within the framework of light-cone sum rules, employing two-pion light-cone distribution amplitudes. For the first time, we derive the twist-three $2\pi$DAs explicitly by exploiting the conformal symmetry of massless QCD. This breakthrough enables the first systematic calculation of higher-power corrections to the $B\to \pi \pi$-type transitions. Leveraging the recently measured partial decay fractions of $B^{+}\to {\pi }^{+}{\pi }^{-}{l}^{+}{\nu }_l$ by the Belle detector, we obtain $|V_{ub}|=\left(4.27\pm 0.49{|}_{\mathrm{data}}\pm 0.55{|}_{\mathrm{LCSRs}}\right)\times 10^{-3}$ within the dominant region of the $\rho$ resonance. We clarify that the relatively small value of $|V_{ub}|$ extracted from $B\to \rho l\nu$, when compared to the golden channel $B\to \pi l\nu$, arises due to the finite width and nonresonant effects. We anticipate future measurements of purely isovector and isoscalar $B_{l4}$ decays, which will aid in reducing uncertainties by enhancing our understanding of the $\pi \pi$ phase shifts in the two-pion distribution amplitudes through heavy flavor decays.

   hep-phhep-exhep-latPRD(2025)·8 citations
8. 08*

   Neutralino dark matter in gauge mediation

   Michihisa Takeuchi🇨🇳 · Norimi Yokozaki🇨🇳 · Junhao Zhu🇨🇳

   We explore the potential of neutralino dark matter within the framework of gauge-mediated supersymmetry (SUSY) breaking. Gauge mediation offers an advantage over gravity mediation, as SUSY CP/flavor problems are avoided more easily, leading to significantly milder fine-tuning for electroweak symmetry-breaking compared to gravity mediation. In our models, the lightest neutralino, as the lightest SUSY particle (LSP), is a viable dark matter candidate, assuming a gravitino mass of $\mathcal{O}(100)\mathrm{TeV}$. The models are formulated in five-dimensional space-time, where the SUSY breaking field and the matter fields are placed on separate branes to avoid issues related to flavor and CP violation. Four distinct neutralino dark matter scenarios are studied: bino-wino coannihilation, higgsino dark matter, wino dark matter, and entropy-diluted bino dark matter. For each case, we determine the allowed parameter spaces and evaluate their consistency with existing experimental limits. Additionally, we examine the potential for testing these models through future investigations at the High-Luminosity Large Hadron Collider (HL-LHC) and through dark matter direct detection experiments.

   hep-phhep-ex0 citations
9. 09*

   One-loop matching for leading-twist generalised transverse-momentum-dependent distributions

   Valerio Bertone🇫🇷 · Miguel G. Echevarria🇪🇸 · Óscar del Rio🇪🇸 · Simone Rodini🇩🇪

   We present the one-loop matching coefficients necessary to match all of the leading-twist generalised transverse-momentum-dependent distributions (GTMDs) onto generalised parton distributions (GPDs). Matching functions are extracted by computing the first radiative corrections to partonic bilocal correlators with staple-like Wilson lines, as appropriate for high-energy collisions. These correlators are characterised by a transverse displacement and skewed kinematics of external states. Using the proton helicity basis, they are parametrised in terms of GTMDs, which are subsequently related to leading-twist GPDs. Our results provide new insights into the complex dynamics of GTMDs generated by radiative corrections. In particular, we show that time-reversal even and odd contributions to GTMDs in the so-called ERBL region mix both under matching and evolution. Finally, we present a selection of numerical results and comment on the quantitative behaviour of GTMDs.

   hep-phJHEP(2025)·10 citations
10. 10*

    Testing spooky action between free-traveling electron-positron pairs

    Leyun Gao🇨🇳 · Alim Ruzi🇨🇳 · Qite Li🇨🇳 · Chen Zhou🇨🇳 · Qiang Li🇨🇳

    Quantum entanglement is a cornerstone of quantum mechanics. While the entanglement of confined electron pairs has been established early on, the entanglement of free-traveling electron pairs, particularly at high energies, remains largely unexplored due to the substantial challenges involved in measuring the spins of free-traveling electrons. In this study, we investigate the entanglement and the Bell inequality violation of free-traveling electron-positron pairs generated in a fixed-target experiment. This experimental setup facilitates the creation of a controllable source of entangled electron-positron pairs, where entangled events are produced in specific phase spaces. Based on this source and the prior knowledge of the entangled state, we demonstrate the feasibility of measuring the polarization correlations of the entangled $e^{+}{e}^{-}$ pairs through their individual secondary scatterings off two separate additional targets.

    hep-phhep-exphysics.pop-phquant-phPRD(2025)·8 citations
11. 11*

    Fock state probability changes in open quantum systems

    Clare Burrage🇬🇧 · Christian Käding🇦🇹

    Open quantum systems are powerful effective descriptions of quantum systems interacting with their environments. Studying changes of Fock state probabilities can be intricate in this context since the prevailing description of open quantum dynamics is by master equations of the systems' reduced density matrices, which usually requires finding solutions for a set of complicated coupled differential equations. In this article, we show that such problems can be circumvented by employing a recently developed path integral-based method for directly computing reduced density matrices in scalar quantum field theory. For this purpose, we consider a real scalar field $\varphi$ as an open system interacting via a $\lambda {\chi }^2{\varphi }^2$-term with an environment comprising another real scalar field $\chi$ that has a finite temperature. In particular, we investigate how the probabilities for observing the vacuum or two-particle states change over time if there were initial correlations of these Fock states. Subsequently, we apply our resulting expressions to a neutrino toy model. We show that, within our model, lighter neutrino masses would lead to a stronger distortion of the observable number of particles due to the interaction with the environment after the initial production process.

    hep-phhep-thquant-phEPJC(2026)·10 citations
12. 12*

    Gauge hierarchy and metastability from Higgs-driven crunching

    Sean Benevedes🇺🇸 · Ameen Ismail🇺🇸 · Thomas Steingasser🇺🇸

    We present a new solution to the Higgs hierarchy problem based on dynamical vacuum selection in a landscape scanning the Higgs mass. In patches where the Higgs mass parameter takes a natural value, the Higgs potential only admits a minimum with a large and negative energy density. This causes a cosmological crunch, removing such patches from the landscape. Conversely, in patches where the Higgs mass parameter is smaller than a critical value, the Higgs potential admits a metastable minimum with the standard cosmological history. This critical value is determined by the instability scale, where the quartic coupling turns negative due to its running. The ability of this mechanism to explain the observed Higgs mass hinges on new physics at the TeV scale, such as vector-like fermions. We study two simple realizations of this scenario in a heavy neutral lepton model and in the singlet-doublet model, the latter mimicking a Higgsino-bino system. We show that the relevant parts of their parameter spaces can be probed by proposed future colliders, such as the FCC-ee or a muon collider.

    hep-phastro-ph.COhep-thJHEP(2025)·5 citations
13. 13*

    Right-handed neutrinos: seesaw models and signatures

    Stephen F King🇬🇧

    We give a pedagogical introduction to right-handed neutrinos as a simple extension to the Standard Model (SM), focussing on seesaw models and their possible experimental signatures. We preface this with a review of the lepton sector of the SM, where charged lepton masses arise from Yukawa couplings and neutrino Majorana masses from the Weinberg operator, leading to a unitary lepton mixing matrix. We first introduce a single right-handed neutrino and the seesaw mechanism, yielding a heavy neutral lepton, then generalise the results to the canonical case of three right-handed neutrinos within a general parameterisation, leading to non-unitary lepton mixing and three heavy neutral leptons, which can detected directly or indirectly via lepton flavour violation or neutrinoless double beta decay. We show how the sequential dominance of three right-handed neutrinos with diagonal masses naturally leads to an effective two right-handed neutrino model with lepton mixing angle predictions in the constrained cases, but unobservable heavy neutral leptons. On the other hand, with degenerate off-diagonal masses, the two right-handed neutrinos can form a single heavy and observable Dirac neutrino, within a two Higgs doublet or Majoron model. Finally we discuss extra singlet neutrinos which can lead to either a double seesaw or an inverse seesaw, depending on their Majorana masses, where the latter allows observable heavy neutral leptons, and the possibility of a minimal inverse seesaw model where mixing angles can be predicted.

    hep-ph9 citations
14. 14*

    Weak bosons as partons below 10 TeV partonic center-of-momentum

    Innes Bigaran🇺🇸 · Richard Ruiz🇵🇱

    We investigate the modeling of weak boson number densities for leptons and hadrons in practical calculations in the Standard Model. In the framework of the Effective $W$ Approximation (EWA) and in the $R_{\xi }$ and axial gauges, we derive the unrenormalized, tree-level parton number densities for weak bosons from massless fermions at next-to-leading power in the collinear expansion. Corrections exhibit various pathologies and properties, including those conjectured but not proven, and parallel heavy quark factorization. We suppress pathologies through a new set of kinematical consistency conditions. When satisfied, shapes and normalizations of full matrix elements for many-leg processes can be well approximated by the EWA and fragmentation contributions at leading power, suggesting the onset of tree-level factorization. Findings also suggest that the EWA is testable at the LHC with $\mathcal{L}=450$ fb${}^{-1}$ of same-sign $WW$ scattering data at $\sqrt{s}=13.6$ TeV.

    hep-phPRD(2026)·6 citations
15. 15*

    Comprehensive Analysis of Thermal Dissipation in Lithium-Ion Battery Packs

    Xuguang Zhang🇨🇳 · Hexiang Zhang🇨🇳 · Amjad Almansour · Mrityunjay Singh🇺🇸 · Hengling Zhu🇨🇳 · Michael C. Halbig · Yi Zheng🇨🇳

    Effective thermal management is critical for lithium-ion battery packs' safe and efficient operations, particularly in applications such as drones, where compact designs and varying airflow conditions present unique challenges. This study investigates the thermal performance of a 16-cell lithium-ion battery pack by optimizing cooling airflow configurations and integrating phase change materials (PCMs) for enhanced heat dissipation. Seven geometric configurations were evaluated under airflow speeds ranging from 0 to 15 m/s, reflecting the operational conditions of civilian drones. A comprehensive 3D simulation approach was used to analyze the effects of inlet and outlet configurations, airflow dynamics, and PCM phase transition behavior. Results indicate that the trapezoidal (wide-base) configuration, paired with a 5-inlet and 1-outlet setup, achieves the most balanced performance, effectively maintaining optimal operating temperatures across low and high-speed airflow conditions. PCM integration further stabilized thermal behavior, with phase change durations extending to 12.5 min under tested conditions. These findings highlight the importance of geometric optimization and material integration in advancing compact and reliable thermal management systems for energy-dense battery packs. This study provides a foundation for designing efficient cooling strategies tailored to lightweight applications such as drones and portable energy storage systems.

    ↳ eess.SYcs.SYhep-ph0 citations
16. 16*

    QCD Anderson transition with overlap valence quarks on a twisted-mass sea -- an update

    Robin Kehr🇩🇪 · Lorenz von Smekal🇩🇪

    We investigate the QCD Anderson transition by studying the low-lying eigenmodes of the overlap operator in the background of gauge configurations with 2+1+1 quark flavors of twisted-mass Wilson fermions. The mobility edge, below which eigenmodes are localized, is estimated by the inflection point of the relative volume. The analysis of its temperature dependence suggests a close relation of localization to chiral symmetry restoration. We update our previous work [1] by including recent results on lower temperatures and switching to improved estimates of the lattice spacing and pseudocritical temperature respectively pion mass. Contrary to the previous prediction, our the mobility edge estimate does not vanish at the temperature of the chiral phase transition. We discuss a possible scenario, supported by literature, for why this could be the case. [1] R. Kehr, D. Smith and L. von Smekal, QCD Anderson transition with overlap valence quarks on a twisted-mass sea, Phys. Rev. D 109 (2024) 074512 [2304.13617].

    ↳ hep-lathep-phPoS(2025)·2 citations
17. 17*

    Modified theories of gravity at different curvature scales

    Susobhan Mandal🇮🇳 · S. Shankaranarayanan (IIT Bombay)🇮🇳

    General Relativity (GR) remains the cornerstone of gravitational physics, providing remarkable success in describing a wide range of astrophysical and cosmological phenomena. However, several challenges underscore the urgent need to explore modified gravity theories. GR struggles to reconcile with quantum mechanics, fails to provide fundamental explanations for dark matter and dark energy, and faces limitations in describing extreme regimes such as black hole singularities and the very early universe. This review provides an organized perspective on modified gravity theories by classifying them based on the principles of GR they preserve or violate. Specifically, we consider three broad categories: (1) metric theories that uphold local Lorentz invariance (LLI) and gauge invariance, (2) theories that break gauge invariance, LLI, or parity, and (3) beyond-metric theories that violate the Einstein's equivalence principle (EEP). This classification highlights the underlying assumptions of GR that these theories challenge or extend, providing a framework for understanding their motivations and implications. The review also discusses the current and upcoming experimental and observational tests of GR, including those probing its foundational principles, such as LLI, gauge invariance, and EEP. For each class of modified theories, we examine their ability to address critical open questions in cosmology and black hole physics. These include their potential to explain the accelerated expansion of the current universe, the nature of dark matter, and deviations in black hole dynamics from GR predictions. This review aims to provide a structured understanding of modified gravity theories and their observational implications in the multimessenger era by focusing on the principles preserved or violated. [abridged]

    ↳ gr-qcastro-ph.COastro-ph.HEhep-ph+112 citations
18. 18*

    Low-energy $DD$ scattering in lattice QCD

    Pan-Pan Shi🇪🇸 · Feng-Kun Guo🇨🇳 · Chuan Liu🇨🇳 · Liuming Liu🇨🇳 · Peng Sun🇨🇳 · Jia-Jun Wu🇨🇳 · Hanyang Xing🇨🇳

    We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^{+})$ and $0(1^{-})$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq 0.077$ fm and two different pion masses, $m_{\pi }\simeq 207$ and $305$ MeV. The scattering parameters are determined using the Lüscher's finite volume method. Our results indicate a weak repulsive interaction in the $1(0^{+})$ channel and a slightly attractive interaction in the $0(1^{-})$ channel. The $S$-wave isovector $DD$ scattering length and effective range, extrapolated to the physical pion mass, are $(-0.25\pm 0.08\pm 0.12)$ fm and $(-5.7\pm 4.5\pm 1.7)$ fm, respectively.

    ↳ hep-lathep-exhep-phPRD(2026)·6 citations
19. 19*

    Detectability of dark matter subhalo impacts in Milky Way stellar streams

    Junyang Lu🇨🇦 · Tongyan Lin🇺🇸 · Mukul Sholapurkar🇺🇸 · Ana Bonaca

    Stellar streams are a promising way to probe the gravitational effects of low-mass dark matter (DM) subhalos. In recent years, there has been a remarkable explosion in the number of stellar streams detected in the Milky Way, and hundreds more may be discovered with future surveys such as LSST. Studies of DM subhalo impacts on streams have so far focused on a few of the thinnest and brightest streams, and it is not known how much information can be gained from the others. In this work, we develop a method to quickly estimate the minimum detectable DM subhalo mass of a given stream, depending on its width, length, distance, and stellar density. We use an analytic model for the impacts and apply a test statistic to determine whether they are detectable. We consider several observational scenarios, based on current and future surveys including Gaia, DESI, Via, and LSST. We find that at 95% confidence level, a stream like GD-1 has a minimum detectable subhalo mass of $\sim 6\times 10^6{\mathrm{M}}_{\odot }$ in Gaia data and $\sim 8\times 10^5{\mathrm{M}}_{\odot }$ with LSST 10 year sensitivity. Applying our results to confirmed Milky Way streams, we rank order them by their sensitivity to DM subhalos and identify promising ones for further study.

    ↳ astro-ph.GAastro-ph.COhep-ph9 citations
20. 20*

    Phase transitions in an expanding medium -- hot remnants

    Romuald A. Janik🇵🇱 · Matti Jarvinen🇰🇷 · Jacob Sonnenschein🇮🇱

    We analyze the dynamics of a first order confinement/deconfinement phase transition in an expanding medium using an effective boundary description fitted to the holographic Witten model. We observe and analyze hot plasma remnants, which do not cool down or nucleate bubbles despite the expansion of the system. The appearance of the hot remnants, the dynamics of their shrinking and subsequent dissolution and further heating up is very robust and persists in such diverse scenarios as boost-invariant expansion with a flat Minkowski metric and cosmological expansion in a Friedmann-Robertson-Walker spacetime.

    ↳ hep-thastro-ph.COhep-phPRL(2025)·2 citations
21. 21*

    Revisiting the ${\varphi }^6$ Theory in Three Dimensions at Large $N$

    Sandra Kvedaraitė🇪🇸 · Tom Steudtner🇩🇪 · Max Uetrecht🇩🇪

    We investigate the $O(N)$--symmetric ${\varphi }^6$ theory in three spacetime dimensions using dimensional regularisation and minimal subtraction. The predictions of other methods are scrutinised in a large-$N$ expansion. We show how the tricritical line of fixed point emerges in a strict $N\to \infty$ limit but argue that it is not a physical manifestation. For the first time in this explicit manner, we compute the effective potential at next-to-leading order in the $1/N$-expansion and discuss its stability. The Bardeen-Moshe-Bander phenomenon is also analysed at next-to-leading order, and we demonstrate that it disappears without breaking the scale invariance spontaneously. Our findings indicate that the UV fixed point found by Pisarski persists at large $N$.

    ↳ hep-thcond-mat.stat-mechhep-phPRD(2025)·5 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.