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I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

Familiar factorized descriptions of classic QCD processes such as deeply-inelastic scattering (DIS) apply in the limit of very large hard scales, much larger than nonperturbative mass scales and other nonperturbative physical properties…

High Energy Physics - Phenomenology · Physics 2017-06-01 E. Moffat , W. Melnitchouk , T. C. Rogers , N. Sato

Based on a recent work on the quantum chromodynamic (QCD) factorization for semi-inclusive deep-inelastic scattering (DIS), we present a set of factorization formulas for the spin-dependent DIS and Drell-Yan cross sections at low transverse…

High Energy Physics - Phenomenology · Physics 2009-11-10 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

Many observables in QCD rely upon the resummation of perturbation theory to retain predictive power. Resummation follows after one factorizes the cross section into the rele- vant modes. The class of observables which are sensitive to soft…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jui-yu Chiu , Ambar Jain , Duff Neill , Ira Z. Rothstein

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum…

High Energy Physics - Phenomenology · Physics 2011-08-01 Xiangdong Ji , Jian-ping Ma , Feng Yuan

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 derive a factorization theorem for Drell-Yan process at low q_T using effective field theory methods. In this theorem all the obtained quantities are gauge invariant and the special role of the soft function--and its subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-03 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

Effective field theory methods are used to study factorization of the deep inelastic scattering cross-section. The cross-section is shown to factor in QCD, even though it does not factor in perturbation theory for some choices of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aneesh V. Manohar

We determine the fine-tuning of the Yukawa couplings of supersymmetric QCD, discretized on a lattice. We use perturbation theory at one-loop level. The Modified Minimal Subtraction scheme ($\overline{{\rm MS}}$) is employed; by its…

High Energy Physics - Lattice · Physics 2023-11-01 Marios Costa , Herodotos Herodotou

Factorization is possible due to the universal behavior of Yang-Mills theories in soft and collinear limits. Here, we take a small step towards a more transparent understanding of these limits by proving a form of perturbative factorization…

High Energy Physics - Theory · Physics 2013-09-25 Ilya Feige , Matthew D. Schwartz

We study the Semi-Inclusive Deep Inelastic Scattering (SIDIS) cross section as a function of the transverse momentum, $q_T$. In order to describe it over a wide region of $q_T$, soft gluon resummation has to be performed. Here we will use…

High Energy Physics - Phenomenology · Physics 2015-06-23 M. Boglione , J. O. Gonzalez Hernandez , S. Melis , A. Prokudin

We define the collinear factorization scheme, which absorbs only the collinear physics into the parton distribution functions. In order to isolate the collinear physics, we introduce a procedure to combine real and virtual corrections,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fabio Maltoni , Thomas McElmurry , Robert Putman , Scott Willenbrock

Nonrelativistic Quantum Chromodynamics (NRQCD) breaks down in the region of low transverse momentum, where the transverse momentum of the produced quarkonium state is sensitive to multiple scattering with the incoming hadron and to soft…

High Energy Physics - Phenomenology · Physics 2024-10-03 Miguel G. Echevarria , Samuel F. Romera , Pieter Taels

We construct an improved implementation for combining transverse-momentum-dependent (TMD) factorization and collinear factorization. TMD factorization is suitable for low transverse momentum physics, while collinear factorization is…

High Energy Physics - Phenomenology · Physics 2016-08-17 J. Collins , L. Gamberg , A. Prokudin , T. C. Rogers , N. Sato , B. Wang

We present the details of a new factorized approach to semi-inclusive deep-inelastic scattering which treats QED and QCD radiation on equal footing, and provides a systematically improvable approximation to the extraction of transverse…

High Energy Physics - Phenomenology · Physics 2021-12-08 Tianbo Liu , W. Melnitchouk , Jian-Wei Qiu , N. Sato

Inclusive deep inelastic scattering factorization combines two features that are often treated separately: an asymptotic reconstruction of the current-current matrix element from hard and long-distance data, and an invariance under finite…

High Energy Physics - Phenomenology · Physics 2026-05-18 Dustin Keller

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

This paper is a part of a series of works where we in detail examine the concept of Transverse Momentum Dependent (TMD), or k_T, factorization, which is frequently encountered in the literature and is widely used in the phenomenological…

High Energy Physics - Phenomenology · Physics 2012-04-03 Emil Avsar

Differential measurements of the semi-inclusive deep inelastic scattering (SIDIS) process with polarized beams provide important information on the three-dimensional structure of hadrons. Among the various observables are azimuthal…

High Energy Physics - Phenomenology · Physics 2023-06-21 Markus A. Ebert , Anjie Gao , Iain W. Stewart

Deeply inelastic scattering (DIS) is an essential process for exploring the structure of visible matter and testing the standard model. At the same time, the theoretical interpretation of DIS measurements depends on QCD factorization…

High Energy Physics - Phenomenology · Physics 2024-12-20 Henry Bloss , Brandon Kriesten , T. J. Hobbs
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