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This note study the soft behavior of Yang-Mills (YM) and bi-adjoint scalar (BAS) amplitudes at tree level, by using transmutation operators proposed by Cheung, Shen and Wen. By acting such transmutation operators to gravity amplitudes in…

High Energy Physics - Theory · Physics 2024-10-18 Fang-Stars Wei

In this review we discuss a technique to compute and to sum a class of Feynman diagrams, and some of its applications. These are diagrams containing one or more energetic particles that suffer very little recoil in their interactions. When…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. S. Lam

Soft theorems describe the behavior of scattering amplitudes when one or several external particles are taken to be energetically soft. In tree-level gravity there are universal soft theorems for the three leading orders in the soft…

High Energy Physics - Theory · Physics 2025-04-24 Eivind Jørstad , Sruthi A. Narayanan

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

We consider the periodic problem for two-fluid non-isentropic Euler-Maxwell systems in plasmas. By means of suitable choices of symmetrizers and an induction argument on the order of the time-space derivatives of solutions in energy…

Analysis of PDEs · Mathematics 2018-08-15 Yue-Hong Feng , Xin Li , Shu Wang

We perform a complete and systematic analysis of the solution space of six-dimensional Einstein gravity. We show that a particular subclass of solutions -- those that are analytic near $\mathcal{I}^+$ -- admit a non-trivial action of the…

High Energy Physics - Theory · Physics 2023-11-27 Federico Capone , Prahar Mitra , Aaron Poole , Bilyana Tomova

Identifying useful flat-space limits for cosmological correlators, where they can be expressed in terms of observables in Minkowski space is nontrivial due to their scale-invariant nature. In recent years, it has been shown that…

High Energy Physics - Theory · Physics 2025-11-06 Sebastian Cespedes , Sadra Jazayeri

Amplitude equations are used to describe the onset of instability in wide classes of partial differential equations (PDEs). One goal of the field is to determine simple universal/generic PDEs, to which many other classes of equations can be…

Analysis of PDEs · Mathematics 2018-12-24 Christian Kuehn , Sebastian Throm

Finding analytically the statistics of the longest common subsequence (LCS) of a pair of random sequences drawn from c alphabets is a challenging problem in computational evolutionary biology. We present exact asymptotic results for the…

Genomics · Quantitative Biology 2009-11-10 Satya N. Majumdar , Sergei Nechaev

We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

High Energy Physics - Phenomenology · Physics 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

In this work, we examine the problem of stationary superposition in the Bohmian amplitude phase formulation, where amplitude and phase obey coupled nonlinear equations and direct linear superposition is not generally preserved. Considering…

Quantum Physics · Physics 2026-05-27 Anand Aruna Kumar

We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling which correspond to minimal surfaces with a light-like polygonal boundary in AdS_3. We find a concise expression of the remainder function…

High Energy Physics - Theory · Physics 2015-05-30 Yasuyuki Hatsuda , Katsushi Ito , Yuji Satoh

We consider the transverse-momentum distribution of a Higgs boson produced through gluon fusion in hadron collisions. At small transverse momenta, the large logarithmic terms are resummed up to next-to-leading-logarithmic (NLL) accuracy.…

High Energy Physics - Phenomenology · Physics 2017-04-26 Massimiliano Grazzini , Agnieszka Ilnicka , Michael Spira , Marius Wiesemann

We show that the Banks-Fischler-Shenker-Susskind matrix model for M-theory obeys the leading and subleading soft theorems expected from eleven-dimensional supergravity. The subleading soft theorem implies the amplitude is Lorentz symmetric.…

High Energy Physics - Theory · Physics 2023-12-27 Aidan Herderschee , Juan Maldacena

Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Dolgov

Carrollian amplitudes are scattering amplitudes of massless particles written in position space at null infinity. We study various aspects of Carrollian amplitudes for gauge theory and gravity at loop level using primarily the modified…

High Energy Physics - Theory · Physics 2026-05-15 Vijay Nenmeli , Bin Zhu

The non-equilibrium two loop self-energy is reexamined in the framework of a scalar quark and gluon model, with specific attention to terms which do not give rise to the standard two -> two particle collisional terms in the semi-classical…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. S. Isert , S. P. Klevansky

We perform the all orders resummation of threshold enhanced contributions for the Higgs boson pair production cross section via gluon fusion, including finite top quark mass ($M_t$) effects. We present results for the total cross section…

High Energy Physics - Phenomenology · Physics 2018-09-26 Daniel de Florian , Javier Mazzitelli

From the world-sheet point of view we compute three, four and five point BPS and non-BPS scattering amplitudes of type IIA and IIB superstring theory. All these the mixed S-matrix elements including a closed string Ramond-Ramond (RR) in the…

High Energy Physics - Theory · Physics 2015-11-04 Ehsan Hatefi

We prove the convergence of $ \nN $-particle systems of Brownian particles with logarithmic interaction potentials onto a system described by the infinite-dimensional stochastic differential equation (ISDE). % For this proof we present two…

Probability · Mathematics 2017-06-14 Yosuke Kawamoto , Hirofumi Osada