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The quasi-transverse-momentum dependent (qTMD) distributions are equal-time correlators that can be computed within the lattice QCD approach. In the regime of large hadron's momentum, qTMD distributions are expressed in terms of standard…

High Energy Physics - Phenomenology · Physics 2023-04-27 Simone Rodini , Alexey Vladimirov

Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding…

High Energy Physics - Phenomenology · Physics 2020-05-06 Alexey A. Vladimirov , Andreas Schäfer

The transverse-momentum-dependent (TMD) soft function is a key ingredient in QCD factorization of Drell-Yan and other processes with relatively small transverse momentum. We present a lattice QCD study of this function at moderately large…

High Energy Physics - Lattice · Physics 2020-11-11 Qi-An Zhang , Jun Hua , Yikai Huo , Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu , Maximilian Schlemmer , Andreas Schäfer , Peng Sun , Wei Wang , Yi-Bo Yang

This work is dedicated to the study of power expansion in the transverse momentum dependent (TMD) factorization theorem. Each genuine term in this expansion gives rise to a series of kinematic power corrections (KPCs). All terms of this…

High Energy Physics - Phenomenology · Physics 2023-11-08 Alexey Vladimirov

We evaluate the complete set of kinematic power corrections (KPCs) to the leading power (LP) term of the transverse momentum dependent (TMD) factorization theorem for semi-inclusive deep-inelastic scattering (SIDIS) with a polarized target.…

High Energy Physics - Phenomenology · Physics 2025-10-17 Sara Piloneta , Alexey Vladimirov

Transverse-momentum-dependent parton distribution functions (TMDs) can be studied from first principles by a perturbative matching onto lattice-calculable quantities: so-called lattice TMDs, which are a class of equal-time correlators that…

High Energy Physics - Phenomenology · Physics 2022-05-18 Markus A. Ebert , Stella T. Schindler , Iain W. Stewart , Yong Zhao

We study the transverse momentum dependent (TMD) parton distributions in the newly proposed quasi-parton distribution function framework in Euclidean space. A soft factor subtraction is found to be essential to make the TMDs calculable on…

High Energy Physics - Phenomenology · Physics 2015-04-16 Xiangdong Ji , Peng Sun , Xiaonu Xiong , Feng Yuan

We develop a method of transverse momentum dependent (TMD) operator expansion that yields the TMD factorization theorem on the operator level. The TMD operators are systematically ordered with respect to TMD-twist, which allows a certain…

High Energy Physics - Phenomenology · Physics 2022-02-09 Alexey Vladimirov , Valentin Moos , Ignazio Scimemi

We give an overview of the current status of perturbative QCD factorization theorems in processes that involve transverse momentum dependent (TMD) parton distribution functions (PDFs) and fragmentation functions (FF). We enumerate those…

High Energy Physics - Phenomenology · Physics 2011-07-21 S. M. Aybat , T. C. Rogers

The partons' transverse momentum can be explored with QCD lattice simulations by studying the quasi-transverse-momentum-dependent parton distribution functions (qTMDPDFs), which are factorized in terms of physical TMDPDFs and soft factors…

High Energy Physics - Phenomenology · Physics 2023-12-19 Óscar del Río , Alexey Vladimirov

We investigate the transverse momentum dependent parton distributions (TMDs) in the quasi-parton-distribution framework. The long standing hurdle of the so-called pinch pole singularity from the space-like gauge links in the TMD definitions…

High Energy Physics - Phenomenology · Physics 2019-06-12 Xiangdong Ji , Lu-Chang Jin , Feng Yuan , Jian-Hui Zhang , Yong Zhao

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

To calculate the transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice QCD, an important goal yet to be realized, it is crucial to establish a viable non-perturbative renormalization approach for linear…

High Energy Physics - Lattice · Physics 2022-08-31 Kuan Zhang , Xiangdong Ji , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

High Energy Physics - Phenomenology · Physics 2024-12-04 Yong Zhao

Phenomenological studies of transverse momentum dependent (TMD) parton distributions rely on the expansion in small values of the transverse separation of fields, where TMD parton distributions match onto collinear parton distribution…

High Energy Physics - Phenomenology · Physics 2023-09-07 Simone Rodini , Alessio Carmelo Alvaro , Barbara Pasquini

The concepts and methods of factorization using transverse-momentum-dependent (TMD) parton densities and/or fragmentation functions are summarized.

High Energy Physics - Phenomenology · Physics 2015-06-16 John Collins

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the…

High Energy Physics - Phenomenology · Physics 2020-10-13 V. Braun , A. Vladimirov , J. -H. Zhang

Applying the dispersion approach we compute perturbative QCD corrections to the power suppressed soft contribution of $B \to \gamma \ell \nu$ at leading twist. QCD factorization for the $B \to \gamma^{\ast}$ form factors is demonstrated…

High Energy Physics - Phenomenology · Physics 2016-11-03 Yu-Ming Wang

In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this…

High Energy Physics - Theory · Physics 2022-09-21 Zhi-Fu Deng , Wei Wang , Jun Zeng

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
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