Transverse momentum moments-Reference-Cited by-同舟云学术

Transverse momentum moments

Published:2024-07-09 Issue:1 Volume:110 Page:
ISSN:2470-0010
Container-title:Physical Review D
language:en
Short-container-title:Phys. Rev. D

Author:

del Rio Oscar¹^ORCID,Prokudin Alexei²³^ORCID,Scimemi Ignazio¹^ORCID,Vladimirov Alexey¹^ORCID

Affiliation:

1. Universidad Complutense de Madrid

2. Penn State University Berks

3. Jefferson Lab

Abstract

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 collinear distributions evaluated in some minimal subtraction scheme. The conversion to the modified minimal subtraction (MS¯) scheme can be done by a calculable factor, which we derive up to three loops for some cases. We discuss in detail the zeroth, the first, and the second TMMs and provide phenomenological results for them based on the current extractions of TMDs. The results of this paper open new avenues for theoretical and phenomenological investigation of the three-dimensional and collinear hadron structures.

Published by the American Physical Society

2024

Funder

National Science Foundation

U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

Comunidad de Madrid

Ministerio de Ciencia e Innovación

Agencia Estatal de Investigación

Ministerio de Universidades

European Commission

Publisher