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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

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

Factorization theorems play a crucial role in our understanding of the strong interaction. For collider processes they are typically formulated at leading power and much less is known about power corrections in the $\lambda\ll 1$ expansion.…

High Energy Physics - Phenomenology · Physics 2018-05-09 Cyuan-Han Chang , Iain W. Stewart , Gherardo Vita

We first revisit impact-parameter dependent collisions of ultra-relativistic particles in quantum field theory. Two conditions sufficient for defining an impact-parameter dependent cross section are given, which could be violated in…

High Energy Physics - Phenomenology · Physics 2023-07-28 Bin Wu

We analyze transverse thrust in the framework of Soft Collinear Effective Theory and obtain a factorized expression for the cross section that permits resummation of terms enhanced in the dijet limit to arbitrary accuracy. The factorization…

High Energy Physics - Phenomenology · Physics 2015-06-19 Thomas Becher , Xavier Garcia i Tormo

An important unresolved question in strong interaction physics concerns the parameterization of power-suppressed long-distance effects to hard processes that do not admit an operator product expansion (OPE). Recently Bauer et al.\ have…

High Energy Physics - Phenomenology · Physics 2011-05-05 M. Beneke , A. P. Chapovsky , M. Diehl , Th. Feldmann

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

Factorization in gauge theories holds at the amplitude or amplitude-squared level for states of given soft or collinear momenta. When performing phase-space integrals over such states, one would generally like to avoid putting in explicit…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ilya Feige , Matthew D. Schwartz , Kai Yan

I review the factorisation properties of tree level amplitudes when three particles $i$, $j$, $k$ are collinear. The triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved…

High Energy Physics - Phenomenology · Physics 2022-07-29 Oscar Braun-White

We obtain a generalization of the Low theorem for non-Abelian boson emission in collision of scalar and gauge vector particles and its extension to high energy collisions for small transverse momenta of produced particles. We demonstrate…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. N. Antonov

We revisit gauge anomalies from the purely on-shell perspective. We argue that violation of anomaly cancellation conditions manifests as a breakdown of collinear factorization. We explicitly construct one-loop 5-point amplitudes with…

High Energy Physics - Theory · Physics 2025-09-04 Edoardo Alviani , Adam Falkowski

We review a Soft Collinear Effective Theory approach to the study of factorization and resummation of QCD effects in top-quark pair production. In particular, we consider differential cross sections such as the top-quark pair invariant mass…

High Energy Physics - Phenomenology · Physics 2014-09-16 Andrea Ferroglia , Simone Marzani , Ben D. Pecjak , Li Lin Yang

Soft and collinear factorisations can be used to construct expressions for amplitudes in theories of gravity. We generalise the "half-soft" functions used previously to "soft-lifting" functions and use these to generate tree and one-loop…

High Energy Physics - Theory · Physics 2013-05-30 David C. Dunbar , James H. Ettle , Warren B. Perkins

We investigate the Glauber divergences in nonfactorizable annihilation amplitudes for two-body hadronic heavy meson decays in the $k_T$ factorization theorem at one-loop level. These divergences can be absorbed into the Glauber factors in…

High Energy Physics - Phenomenology · Physics 2021-09-22 Hsiang-nan Li

Over the past couple of years we have had significant progress in determining long-distance singularities in gauge-theory scattering amplitudes of massless particles beyond the planar limit. Upon considering all kinematic invariants much…

High Energy Physics - Phenomenology · Physics 2018-01-11 Einan Gardi

A prescription is presented to construct manifestly gauge invariant tree-level scattering amplitudes with one or two off-shell initial-state gluons for processes with arbitrary particles in the final state, which allows for calculations…

High Energy Physics - Phenomenology · Physics 2013-07-09 A. van Hameren

Effects of Glauber gluons, which cause the elastic scattering process between different jets, are studied in the frame of soft-collinear effective theory(SCET). Glauber modes are added into the Lagrangian before integrated out, which is…

High Energy Physics - Phenomenology · Physics 2021-05-21 Gao-Liang Zhou , Zheng-Xin Yan , Xin Zhang , Feng Li

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

Processes involving narrow jets receive perturbative corrections enhanced by logarithms of the jet opening angle and the ratio of the energies inside and outside the jets. Analyzing cone-jet processes in effective field theory, we find that…

High Energy Physics - Phenomenology · Physics 2016-05-18 Thomas Becher , Matthias Neubert , Lorena Rothen , Ding Yu Shao

Glauber gluons in Drell-Yan processes are soft gluons with the transverse momenta much larger than their momentum components along the directions of initial hadrons. Their existence has been a serious challenge in proving the factorization…

High Energy Physics - Phenomenology · Physics 2010-01-21 F. Liu , J. P. Ma