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Related papers: Eikonal amplitudes and non-global logarithms from …

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We introduce a classical version of the loop corrected soft graviton theorem and we use it to compute the universal part of the one-loop (2PM) waveform up to sub-subleading order in the energy $\omega$ of the emitted graviton for spinless…

High Energy Physics - Theory · Physics 2024-03-04 Francesco Alessio , Paolo Di Vecchia

We prove a weighted version of the Bourgain-Brezis-Mironescu (BBM) formula, both in the pointwise and $\Gamma$-convergence sense, together with a compactness criterion for energy-bounded sequences. The non-negative weights need only be…

Analysis of PDEs · Mathematics 2025-04-10 Giorgio Stefani

I briefly review some general features and some recent developments concerning the resummation of long-distance singularities in QCD and in more general non-abelian gauge theories. I emphasize the field-theoretical tools of the trade, and…

High Energy Physics - Phenomenology · Physics 2009-11-13 Lorenzo Magnea

In this paper, we deal with (angular cut-off) Boltzmann equation with soft potential ($-3<\gamma<0$). In particular, we construct a unique global solution in $L^\infty_{x,v}$ which converges to global equilibrium asymptotically provided…

Analysis of PDEs · Mathematics 2021-11-16 Gyounghun Ko , Donghyun Lee , Kwanghyuk Park

We consider extensions of the soft-gluon effective coupling that generalize the Catani--Marchesini--Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the…

High Energy Physics - Phenomenology · Physics 2023-09-22 Stefano Catani , Daniel de Florian , Simone Devoto , Massimiliano Grazzini , Javier Mazzitelli

The equilibration of a finite Bose system is modelled using a gradient expansion of the collision integral that leads to a nonlinear transport equation. For constant transport coefficients, it is solved in closed form through a nonlinear…

High Energy Physics - Phenomenology · Physics 2018-02-12 Georg Wolschin

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

The BCFW recursion relation allows to calculate tree-level scattering amplitudes in generalized Yang-Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin…

High Energy Physics - Theory · Physics 2011-07-14 George Georgiou , George Savvidy

Non-global logarithms arise from the sensitivity of collider observables to soft radiation in limited angular regions of phase space. Their resummation to next-to-leading logarithmic (NLL) order has been a long standing problem and its…

High Energy Physics - Phenomenology · Physics 2021-10-05 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

We study two-dimensional celestial conformal field theory describing four-dimensional ${\cal N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct…

High Energy Physics - Theory · Physics 2020-10-28 Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We present first calculations of QCD matrix-elements in perturbation theory at finite Nc beyond 2 loops in the eikonal approximation for e+ e- annihilation processes. For the emission of n soft energy-ordered gluons we solve both the colour…

High Energy Physics - Phenomenology · Physics 2015-07-07 Kamel Khelifa-Kerfa , Yazid Delenda

An effective theory for the soft field modes in hot QCD has been obtained recently by integrating out the field modes of momenta of order T and g T. The mean hard particle distribution obeys a transport equation with a collision term. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Guerin

We present BPS solutions to a general class of Wess-Zumino models which extend previous results in the literature. We discuss their relation to amplitudes on threshold, and their application to scalar domain walls in Supersymmetric QCD. We…

High Energy Physics - Theory · Physics 2019-11-12 Steven Abel , Quentin Bonnefoy , Debtosh Chowdhury

Most recombination-style jet algorithms cluster soft gluons in a complex way. This leads to correlations in the soft gluon phase space and introduces logarithmic corrections to jet cross sections. The leading Abelian clustering logarithms…

High Energy Physics - Phenomenology · Physics 2015-06-04 Randall Kelley , Jonathan R. Walsh , Saba Zuberi

We study in detail the general structure and further properties of the tree-level amplitudes in the SU(N) nonlinear sigma model. We construct the flavor-ordered Feynman rules for various parameterizations of the SU(N) fields U(x), write…

High Energy Physics - Theory · Physics 2015-06-15 Karol Kampf , Jiri Novotny , Jaroslav Trnka

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

High Energy Physics - Theory · Physics 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

We revisit the classification, and give explicit realisations, of unitary irreducible representations of the BMS group. As compared to McCarthy's seminal work, we make use of a unique, Lorentz-invariant, decomposition of supermomenta into a…

High Energy Physics - Theory · Physics 2025-05-09 Xavier Bekaert , Yannick Herfray

An exact analytical solution of the nonlinear boson diffusion equation (NBDE) is presented. It accounts for the time evolution towards the Bose-Einstein equilibrium distribution through inelastic and elastic collisions in case of constant…

Nuclear Theory · Physics 2024-07-31 L. Möhringer , G. Wolschin

A particle produced in a hard collision can lose energy through bremsstrahlung. It has long been of interest to calculate the effect on bremsstrahlung if the particle is produced inside a finite-size QCD medium such as a quark-gluon plasma.…

Nuclear Theory · Physics 2009-09-02 Peter Arnold

We construct wavefunctions for unitary irreducible representations (UIRs) of the Bondi-Metzner-Sachs (BMS) group, i.e. BMS particles, and show that they describe quantum superpositions of (Poincar\'e) particles propagating on inequivalent…

High Energy Physics - Theory · Physics 2025-10-02 Xavier Bekaert , Laura Donnay , Yannick Herfray