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The cross section for top quark pair production factorizes at small transverse momentum of the heavy quark pair, $q_T$. One of the key ingredients that appears in the factorization formula is the soft function, which mediates soft gluon…

高能物理 - 唯象学 · 物理学 2018-11-15 Rene Angeles-Martinez , Michal Czakon , Sebastian Sapeta

Transverse-momentum dependent (TMD) light-cone wave functions of a light meson are important ingredients in the TMD QCD factorization of exclusive processes. This factorization allows one conveniently resum Sudakov logarithms appearing in…

高能物理 - 唯象学 · 物理学 2008-11-26 J. P. Ma , Q. Wang

The transverse momentum dependent (TMD) and collinear higher twist theoretical factorization frameworks are the most frequently used approaches to describing spin dependent hard cross sections weighted by and integrated over transverse…

高能物理 - 唯象学 · 物理学 2020-08-03 Jian-Wei Qiu , Ted C. Rogers , Bowen Wang

We study the factorization and resummation of t-channel top quark transverse momentum distribution at large pT in the SM at both the Tevatron and the LHC with soft-collinear effective theory. The cross section in the threshold region can be…

高能物理 - 唯象学 · 物理学 2013-02-21 Jian Wang , Chong Sheng Li , Hua Xing Zhu

The current status of the theoretical understanding of the transverse-momentum dependent parton densities (TMDs) is discussed. Special attention is payed to the difference between the operator definitions of TMDs proposed so far, the…

高能物理 - 唯象学 · 物理学 2011-02-07 I. O. Cherednikov

The semi-inclusive deep-inelastic scattering (SIDIS) is the golden process for investigating the nucleon's transverse momentum-dependent (TMD) structure. We present the complete expression for SIDIS structure functions in the TMD…

高能物理 - 唯象学 · 物理学 2025-01-15 Simone Rodini , Alexey Vladimirov

To describe the transverse momentum spectrum of heavy color-singlet production, the joint resummation of threshold and transverse momentum logarithms is investigated. We obtain factorization theorems for various kinematic regimes valid to…

高能物理 - 唯象学 · 物理学 2016-10-21 Gillian Lustermans , Wouter J. Waalewijn , Lisa Zeune

In the preparation period for precision measurements in the newly planned collider experiments, the understanding of the 3D structure of hadron is becoming increasingly urgent. This triggers the activities to include elements of Transverse…

高能物理 - 唯象学 · 物理学 2025-01-16 Aleksandra Lelek

We discuss the state-of-the-art of the theory of transverse-momentum dependent parton densities (TMD)s, paying special attention to their renormalization properties, the structure of the gauge links in the operator definition, and the role…

高能物理 - 唯象学 · 物理学 2017-08-23 I. O. Cherednikov , N. G. Stefanis

Transverse momentum dependent (TMD) parton correlators describing the partonic structure of hadrons contain gauge links, required by color gauge invariance. The required gauge links enter in the matrix elements that contain the parton…

高能物理 - 唯象学 · 物理学 2013-10-02 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a…

高能物理 - 唯象学 · 物理学 2011-05-10 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

The typical transverse momentum of a quark in the proton is a basic property of any QCD based model of nucleon structure. However, calculations in phenomenological models typically give rather small values of transverse momenta, which are…

高能物理 - 唯象学 · 物理学 2022-02-01 A. I. Signal , F. G. Cao

We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive…

高能物理 - 唯象学 · 物理学 2020-12-30 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

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…

高能物理 - 唯象学 · 物理学 2016-08-17 J. Collins , L. Gamberg , A. Prokudin , T. C. Rogers , N. Sato , B. Wang

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

高能物理 - 唯象学 · 物理学 2011-02-23 P. J. Mulders , T. C. Rogers

We establish robust relations between Transverse Momentum Dependent distributions (TMDs) and collinear distributions. We define weighted integrals of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are equal to…

高能物理 - 唯象学 · 物理学 2025-01-27 Oscar del Rio , Alexei Prokudin , Ignazio Scimemi , Alexey Vladimirov

We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness…

高能物理 - 唯象学 · 物理学 2017-08-09 Radja Boughezal , Frank Petriello , Ulrich Schubert , Hongxi Xing

The leading twist transverse momentum dependent parton distributions (TMDs) are studied in a light-cone description of the nucleon where the Fock expansion is truncated to consider only valence quarks. General analytic expressions are…

高能物理 - 唯象学 · 物理学 2010-05-28 B. Pasquini , S. Cazzaniga , S. Boffi

I present some results about transverse momentum dependent distribution and fragmentation functions. Firstly I illustrate a simple model, with predictive power about the energy behavior, for T-odd, chiral odd functions. Moreover I propose a…

高能物理 - 唯象学 · 物理学 2008-11-26 E. Di Salvo

The transverse momentum dependent distributions (TMD) are an essential part of the factorization theorems in vector boson production. They are non-perturbative, double scale dependent functions that asymptotically match onto collinear…

高能物理 - 唯象学 · 物理学 2022-05-13 Ignazio Scimemi