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We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we…

High Energy Physics - Phenomenology · Physics 2010-06-28 Geoffrey T. Bodwin , Xavier Garcia i Tormo , Jungil Lee

We show that soft gluons exchanged between the two colliding protons in multiparton scattering processes can be decoupled, such that their effects are described by the vacuum expectation values of Wilson lines. Our argument relies on…

High Energy Physics - Phenomenology · Physics 2019-05-22 Markus Diehl , Riccardo Nagar

An alternative proof of factorization theorem for Drell-Yan process that works at operator level is given in the article. Final state interactions for such inclusive processes are proved to be cancel out at operator level according to the…

High Energy Physics - Phenomenology · Physics 2013-11-21 Gao-Liang Zhou

We apply recently developed path integral resummation methods to perturbative quantum gravity. In particular, we provide supporting evidence that eikonal graviton amplitudes factorize into hard and soft parts, and confirm a recent…

High Energy Physics - Theory · Physics 2015-03-19 Chris D. White

The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

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 study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

We study the production of isolated photons in $e^+e^-$ annihilation and give the proof of the all-order factorization of the collinear singularities. These singularities are absorbed in the standard fragmentation functions of partons into…

High Energy Physics - Phenomenology · Physics 2011-08-11 S. Catani , M. Fontannaz , E. Pilon

We analyze the low-energy dynamics of gap-between-jets cross sections at hadron colliders, for which phase factors in the hard amplitudes spoil collinear cancellations and lead to double (``super-leading'') logarithmic behavior. Based on a…

High Energy Physics - Phenomenology · Physics 2024-08-21 Thomas Becher , Patrick Hager , Sebastian Jaskiewicz , Matthias Neubert , Dominik Schwienbacher

I briefly summarize some general features of soft-gluon contribution to inclusive cross-sections. The discussion includes the issue of soft-gluon singularities in infrared- and collinear-safe observables. All-order resummation and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani

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

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

In calculations of (semi-) inclusive events within perturbative Quantum Chromodynamics, large logarithmic corrections arise from certain kinematic regions of interest which need to be resummed. When resumming soft gluon effects one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carola F. Berger

We prove a factorization theorem for heavy-to-light form factors. Our result differs in several important ways from previous proposals. A proper separation of scales gives hard kernels that are free of endpoint singularities. A general…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

A previous counterexample to disprove k_T-factorization for H_1+H_2 --> H_3+H_4+X is extended calculationally to one higher order in gluon exchange. The result is that, by explicit calculation, standard k_T-factorization fails for the…

High Energy Physics - Phenomenology · Physics 2007-09-03 John Collins

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

Proof of transverse-momentum-dependent(TMD) factorization for hadron-hadron collision is given in this paper. We focus on processes without detected soft final hadrons or detected final hadrons that are collinear to initial hadrons. This…

High Energy Physics - Phenomenology · Physics 2016-11-25 Gao-Liang Zhou

Gluon amplitudes at most-subleading order in the $1/N$ expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft…

High Energy Physics - Theory · Physics 2022-02-09 Horatiu Nastase , Francisco Rojas , Carlos Rubio

We exhibit an exclusive process, namely the photoproduction of a $\pi^{0}\gamma$ pair with large invariant mass, which violates collinear factorization. We explicitly demonstrate that this is due to the fact that there exists diagrams with…

High Energy Physics - Phenomenology · Physics 2024-09-25 Saad Nabeebaccus , Jakob Schoenleber , Lech Szymanowski , Samuel Wallon

We address the possibility in factorization proofs that low-energy collinear gluons can couple to soft gluons.

High Energy Physics - Phenomenology · Physics 2011-08-19 Geoffrey T. Bodwin , Xavier Garcia i Tormo , Jungil Lee
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