{"title":"Analytic results for one-loop integrals in dimensional regularisation","authors":"Claude Duhr, Paul Mork","doi":"10.1007/JHEP10(2026)166","DOIUrl":"10.1007/JHEP10(2026)166","url":null,"abstract":"<p>We present a method to obtain analytic results in terms of multiple polylogarithms for one-loop triangle, box and pentagon integrals depending on an arbitrary number of scales and to any desired order in the Laurent expansion in the dimensional regulator <i>ε</i>. Our method leverages the fact that for <i>ε</i> = 0 one-loop integrals compute volumes of simplices in hyperbolic spaces, which can always be evaluated in terms of polylogarithms using an algorithm recently introduced in pure mathematics. The higher orders in <i>ε</i> can then be expressed as a one-fold integral involving the result for <i>ε</i> = 0. Remarkably, we find that for up to five external legs, all integrals can be evaluated algorithmically in terms of polylogarithms using direct integration techniques, which, in particular, requires us to rationalise all appearing square roots. We also discuss how we can use the connection to hyperbolic geometry to perform the analytic continuation from the Euclidean region to other kinematic regions.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)166.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sebastián Céspedes, Senarath de Alwis, Fernando Quevedo
{"title":"Cosmology, decoherence and the second law","authors":"Sebastián Céspedes, Senarath de Alwis, Fernando Quevedo","doi":"10.1007/JHEP10(2026)176","DOIUrl":"10.1007/JHEP10(2026)176","url":null,"abstract":"<p>We consider quantum decoherence and entropy increase in early universe cosmology. We first study decoherence in a discrete bipartite quantum system for which a single qubit gets entangled with an environment and the entropy increase is correlated with the decay of the off-diagonal terms of the reduced density matrix. We compare this system with continuous systems relevant for cosmology for which there is a natural external intervention, corresponding to the time-dependent separation between the sub- and super-horizon infla-tionary fluctuations. We find, in this case, that the off-diagonal terms of the density matrix, in a field basis, do not decay as sometimes assumed in cosmological set-ups. Nevertheless, following a recent treatment in terms of open Effective Field Theories (EFTs), we compute the entanglement entropy for a Gaussian state and show that it actually increases monotonically (<span>(dot{S}>0)</span>) during the accelerated phases (<span>(ddot{a}>0)</span> with <i>a</i>(<i>t</i>) the scale factor). We generalise this result to include non-Gaussian states and briefly discuss the relevance of computing the von Neumann entropy as compared to the thermodynamic entropy.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)176.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dan Zhu, Qingyue Zhang, Khai-Ming Wong, Xurong Chen
{"title":"First mass determination of electroweak vortex rings in the Standard Model","authors":"Dan Zhu, Qingyue Zhang, Khai-Ming Wong, Xurong Chen","doi":"10.1007/JHEP10(2026)162","DOIUrl":"10.1007/JHEP10(2026)162","url":null,"abstract":"<p>We report the first rigorous evaluation of the physical mass of electroweak vortex rings, establishing precise values of 18.01 and 26.80 TeV for solutions characterized by different winding numbers. Analysis of the internal structure reveals that repulsive interactions shape the geometry of these configurations, while complex current distributions lead to a neutral analogue of Ampère’s circuital law, suggesting a corresponding self-stabilizing pinch mechanism. These findings set the energy scales for the potential observation of such configurations at future colliders and offer a framework for understanding topological structures in the Standard Model.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)162.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Andreas Brandhuber, Paolo Pichini, Gabriele Travaglini, Congkao Wen
{"title":"𝒩 = 4 single-minus superamplitudes and dual superconformal symmetry","authors":"Andreas Brandhuber, Paolo Pichini, Gabriele Travaglini, Congkao Wen","doi":"10.1007/JHEP10(2026)171","DOIUrl":"10.1007/JHEP10(2026)171","url":null,"abstract":"<p>We construct the 𝒩 = 4 supersymmetric completion of the recently proposed single-minus gluon amplitudes in (2<i>,</i> 2) signature, which are nonvanishing for all multiplicities on a half-collinear kinematic locus. The superamplitude factorises into a permutation-invariant measure ∆<sup>(<i>n</i>−1)</sup> with uniform little-group weight that imposes the half-collinearity constraint, a piecewise constant stripped amplitude <span>({widetilde{A}}_{1dots n})</span> that is helicity blind and dual conformal invariant, and (super)momentum conservation delta functions. For <i>n</i> = 3, our superamplitude reduces to the known <span>(overline{text{M}text{H}text{V} })</span> superamplitude. We prove dual superconformal covariance of the <i>n</i>-point superamplitude, and further analyse the Gr(<i>k, n</i>) Grassmannian integral at <i>k</i> = 1. Finally, we present the corresponding single-minus superamplitude in 𝒩 = 8 supergravity.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)171.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Towards a consistent perturbation theory at finite temperature","authors":"Passant Ali, Peter Lowdon, Owe Philipsen","doi":"10.1007/JHEP10(2026)163","DOIUrl":"10.1007/JHEP10(2026)163","url":null,"abstract":"<p>The standard approach to perturbation theory for finite-temperature quantum field theories has several issues, including the appearance of ill-defined on-shell contributions in the real-time formulation, and infrared divergences in massless theories. Earlier studies indicate that these issues all stem from the inconsistent thermal generalisation of the Gell-Mann-Low relation, which forms the foundation of perturbation theory in vacuum. This inconsistency arises from the use of free scattering states in the relation, which are known not to exist in interacting thermal theories. In this work, we propose a generalisation of the Gell-Mann-Low relation for scalar theories based on non-perturbative spectral insights, namely that finite-temperature scattering states can be described by damped but stable particle-like excitations, so-called thermoparticles. The perturbative expansion of this generalised relation gives rise to contributions with exactly the same topology as the standard finite-temperature approach, except that now the propagators appearing in this expansion are not those of a free field but of thermoparticles, which depend on the dynamics of the theory. We demonstrate that thermoparticle perturbation theory resolves the known problems of the standard approach. Furthermore, by comparing imaginary-time calculations at two-loop level with numerical lattice simulations of two-point correlation functions in massive <i>ϕ</i><sup>4</sup> theory, we explicitly show that this framework gives rise to precise predictions, as in the vacuum case, in stark contrast to the standard approach.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)163.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Massimo Bianchi, Maurizio Firrotta, Lorenzo Grimaldi
{"title":"One-loop mass corrections and decay widths of Type II heavy string states","authors":"Massimo Bianchi, Maurizio Firrotta, Lorenzo Grimaldi","doi":"10.1007/JHEP10(2026)173","DOIUrl":"10.1007/JHEP10(2026)173","url":null,"abstract":"<p>We approach a systematic investigation of the one-loop mass corrections to (super-)string massive higher-spin states. While the imaginary part of the relevant amplitudes is finite, being related to the width of the decay of the states into two lower-mass states at tree level, the real part is generally IR-divergent and needs regularization and renormalization. We mostly focus on states of the first Regge trajectory in the NS-NS sector of Type-II string theories. We explicitly derive a closed-form expression for the integral over the insertion point, relying on properties of elliptic functions and lattice sums. We then regularize the IR divergent integral over the modular parameter of the torus, applying the <i>iε</i>-prescription in string theory. As a result we compute the desired mass corrections up to level <i>N</i> = 10 and analyze their behavior at increasing <i>N</i>. Finally, we speculate on the existence of mixing among lower-spin states and conjecture that the one-loop mass matrix be governed by some random matrix theory.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)173.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"D-instanton effects on the holographic Weyl semimetals","authors":"Hwajin Eom, Yunseok Seo","doi":"10.1007/JHEP10(2026)175","DOIUrl":"10.1007/JHEP10(2026)175","url":null,"abstract":"<p>We investigate the effects of D-instantons on a holographic Weyl semimetal in a top-down approach. We find that the presence of D-instantons induces a novel phase transition from a Weyl semimetal to a gapped phase, providing a new mechanism for gap formation in strongly coupled systems. By analyzing the free energy of probe D7-brane embeddings, we construct the phase diagram in terms of the fermion mass, instanton density, and temperature, measured in units of the Weyl parameter. We show that, in addition to the conventional mass-driven transition associated with band inversion, the instanton density gives rise to a qualitatively different transition whose mechanism cannot be understood within the standard Dirac picture. We compute nonlinear electric conductivities from the regularity condition at the black hole horizon and demonstrate that the two types of transitions exhibit distinct transport behavior. In particular, the instanton-induced transition leads to a gapped phase with properties that differ from the conventional insulating phase. We also discuss possible interpretations of this phase in the boundary theory and comment on its relation to nonperturbative effects in strongly interacting systems.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)175.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Morse bridge between planar Kepler and hyperbolic Landau dynamics","authors":"Mikhail S. Plyushchay","doi":"10.1007/JHEP10(2026)172","DOIUrl":"10.1007/JHEP10(2026)172","url":null,"abstract":"<p>A common Morse Hamiltonian connects the planar Kepler-Coulomb and hyperbolic Landau systems, thereby linking flat electric dynamics to curved magnetic dynamics. We develop this bridge at both the classical and quantum levels. A radial Liouville transformation combined with coupling-constant metamorphosis converts the separated Kepler problem into the Morse problem, while reduction at fixed horocyclic momentum converts the hyperbolic Landau problem into the same system. In this common normalization, the Coulomb coupling becomes the signed product of the magnetic field and the conserved horocyclic momentum, and the quantum Landau reduction acquires the universal half-density shift 1<i>/</i>4. Going beyond the common reduction, we construct a direct classical orbit map on the regular nonradial sectors, valid for negative, zero and positive Kepler energies. It identifies the Landau height with a scaled inverse Kepler radius, maps ellipses, parabolas and hyperbolas to magnetic circles, horocycles and hypercycles, and sends Hamilton’s hodograph affinely to the corresponding Landau carrier circle. The reduced Kepler symplectic form and the complex structure selected by the Binet evolution further determine a distinguished Poincaré Kähler metric. Its nondegenerate Binet orbits have constant geodesic curvature whose magnitude is the inverse Kepler eccentricity, while the zero-coupling case gives geodesics. The direct orbit map identifies this Binet metric with the Poincaré configuration-space metric of the hyperbolic Landau problem. At the quantum level, composition of the two Liouville maps eliminates the intermediate Morse wavefunction and yields an exact weighted intertwining identity between the radial Kepler and horocyclic Landau operator pencils. At distinguished half-integer magnetic fields, the angular-momentum grading of a fixed Kepler shell is reorganized into the finite reduced Landau tower together with its threshold endpoint. These exact correspondences hold in the stated reduced sectors despite the unitary inequivalence of the complete parent systems.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)172.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Yang-Mills flux tube in AdS. Part II. Effective String Theory","authors":"Barak Gabai, Victor Gorbenko, Bendeguz Offertaler","doi":"10.1007/JHEP10(2026)179","DOIUrl":"10.1007/JHEP10(2026)179","url":null,"abstract":"<p>We continue the study of flux tubes in confining gauge theories placed in a rigid AdS background, focusing on the three-dimensional case. Our analysis is performed in the large-radius regime, where effective string theory provides a good approximation of the dynamics. Using a combination of techniques, primarily the analytic transcendentality ansatz bootstrap, we compute observables up to two-loop order in the expansion in powers of the string length over the AdS radius, which constitutes the main result of this work. Finally, we employ Padé resummations to explore the possible compatibility of our results with a smooth interpolation of observables between large-radius AdS and small-radius AdS, in which gauge theory is weakly coupled.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)179.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Wall-crossing of instantons on the blow-up","authors":"Baptiste Filoche, Stefan Hohenegger, Taro Kimura","doi":"10.1007/JHEP10(2026)164","DOIUrl":"10.1007/JHEP10(2026)164","url":null,"abstract":"<p>We study the instanton counting in four dimensional <span>( mathcal{N} )</span> = 2 supersymmetric gauge theories on the blow-up of <i>ℂ</i><sup>2</sup>: we start by formulating the instanton moduli space as a quiver variety, which we regularise by introducing two stability parameters, thus endowing it with a structure of infinitely many chambers separated by walls. Within a given chamber, we formulate the instanton partition function as a contour integral, which can be evaluated using the Jeffrey-Kirwan residue prescription. We characterise the physically relevant contributions in terms of bipartite oriented graphs and show that they can more efficiently be classified in terms of combinatorial objects called super-partitions. Within a given chamber, only certain types of super-partitions contribute and we show that the corresponding selection criteria are equivalent to stability conditions that have previously been proposed in the literature. We use this formalism to compare how the instanton counting changes when moving across walls between neighbouring chambers and provide explicit expressions for the corresponding partition functions. In a limiting chamber and using our approach, we show how to reproduce the Nakajima-Yoshioka blow-up formula.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 10","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)164.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}