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Related papers: Infrared singularities in the high-energy limit

200 papers

We study the high-energy small-angle {\it Regge} limit of the fermion-antifermion scattering in gauge theories and consider the part of the amplitude suppressed by a power of the scattering angle. For abelian gauge group all-order…

High Energy Physics - Phenomenology · Physics 2020-05-20 Alexander A. Penin

For any hard QCD amplitude with massless partons, infrared (IR) singularities arise from pinches in the complex planes of loop momenta, called pinch surfaces. To organize and study their leading behaviors in the neighborhoods of these…

High Energy Physics - Phenomenology · Physics 2020-05-20 Yao Ma

In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered…

High Energy Physics - Phenomenology · Physics 2024-03-19 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

The infrared singularities of gravitational amplitudes are one-loop exact, in that higher-loop divergences are characterized by the exponential of the one-loop divergence. We show that the contributions to SU(N) gauge-theory amplitudes that…

High Energy Physics - Theory · Physics 2015-06-12 Stephen G. Naculich , Horatiu Nastase , Howard J. Schnitzer

We investigate the high-energy, small-angle limit of two-body gravitational scattering. Using power counting arguments and dispersion relations in an effective field theory for the Regge regime, we derive the general loop expansion that…

High Energy Physics - Theory · Physics 2026-05-21 Francesco Alessio , Vittorio Del Duca , Riccardo Gonzo , Emanuele Rosi , Ira Z. Rothstein , Michael Saavedra

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

High Energy Physics - Phenomenology · Physics 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy…

High Energy Physics - Theory · Physics 2024-12-11 Rishabh Bhardwaj , Marcus Spradlin , Anastasia Volovich , He-Chen Weng

We consider the on-shell amplitudes in N=(1,1) SYM in D=6 dimensions within the spinor helicity and on-shell superspace formalism. This leads to an effective and straightforward technique reducing the calculation to a set of scalar master…

High Energy Physics - Theory · Physics 2015-06-16 L. V. Bork , D. I. Kazakov , D. E. Vlasenko

We establish a systematic way to calculate multiloop amplitudes of infrared safe massless models with Implicit Regularization (IR), with a direct cancelation of the fictitious mass introduced by the procedure. The ultraviolet content of…

High Energy Physics - Theory · Physics 2015-05-14 E. W. Dias , A. P. Baeta Scarpelli , L. C. T. Brito , H. G. Fargnoli

We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution…

High Energy Physics - Phenomenology · Physics 2021-11-10 Leonardo Vernazza , Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy

The high energy (Regge) limit provides a playground for understanding all loop structures of scattering amplitudes, and plays an important role in the description of many phenomenologically relevant cross-sections. While well understood in…

High Energy Physics - Phenomenology · Physics 2024-09-02 Anjie Gao , Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

I derive a single factorization formula which summarizes all soft and collinear divergences of a tree-level gauge theory amplitude. The singular factor squared is in a certain sense the generalization of the Catani-Seymour dipole…

High Energy Physics - Phenomenology · Physics 2016-08-25 David A. Kosower

Factorization properties of one-loop gauge theory amplitudes have been used as checks on explicitly computed amplitudes and in the construction of ansatze for higher-point ones. In massless theories, such as QCD at high energies, infrared…

High Energy Physics - Phenomenology · Physics 2010-04-06 Z. Bern , G. Chalmers

Gauge invariance and soft limits can be enough to determine the analytic structure of scattering amplitudes in certain theories. This prompts the question of how gauge invariance is connected to analytic structure in more general theories.…

High Energy Physics - Theory · Physics 2020-04-30 Anton Ilderton , Alexander J. MacLeod

In this thesis I study the infrared limits of QCD beyond leading power by developing effective quantum field theory techniques. I introduce the motivations for studying this subject both as a tool to deepen our understanding of the infrared…

High Energy Physics - Phenomenology · Physics 2020-08-26 Gherardo Vita

This study seeks a better comprehension of anomalies by exploring (n+1)-point perturbative amplitudes in a 2n-dimensional framework. The involved structures combine axial and vector vertices into odd tensors. This configuration enables…

High Energy Physics - Theory · Physics 2024-02-09 José Fernando Thuorst , Luciana Ebani , Thalis José Girardi

Consistent factorization theorems in high-energy scattering near the threshold are presented in the framework of the soft-collinear effective theory. Traditional factorization theorem separates the soft and collinear parts successfully, but…

High Energy Physics - Phenomenology · Physics 2015-06-15 Junegone Chay , Chul Kim

We compute for the first time the two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity. Starting from the known integrand, we perform an integration-by-parts reduction and express the answer in terms of uniform weight master…

High Energy Physics - Theory · Physics 2019-05-01 D. Chicherin , T. Gehrmann , J. M. Henn , P. Wasser , Y. Zhang , S. Zoia

We compute the symbol of the full-color two-loop five-particle amplitude in $\mathcal{N}=4$ super Yang-Mills, including all non-planar subleading-color terms. The amplitude is written in terms of permutations of Parke-Taylor tree-level…

High Energy Physics - Theory · Physics 2019-04-08 D. Chicherin , T. Gehrmann , J. M. Henn , P. Wasser , Y. Zhang , S. Zoia

We calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are…

High Energy Physics - Theory · Physics 2026-03-31 Marcus Berg , Michael Haack , Yonatan Zimmerman