Document Type

Article

Publication Date

2020

DOI

10.1103/PhysRevD.101.116017

Publication Title

Physical Review D

Volume

101

Issue

11

Pages

12 pp.

Abstract

The transverse momentum-dependent (TMD) and collinear higher twist theoretical factorization frameworks are the most frequently used approaches to describe spin-dependent hard cross sections weighted by and integrated over transverse momentum. Of particular interest is the contribution from small transverse momentum associated with the target bound state. In phenomenological applications, this contribution is often investigated using transverse momentum weighted integrals that sharply regulate the large transverse momentum contribution, for example, with Gaussian parametrizations. Since the result is a kind of hybrid of TMD and collinear (inclusive) treatments, it is important to establish if and how the formalisms are related in applications to weighted integral observables. The suppression of a large transverse momentum tail, for example, can potentially affect the type of evolution that is applicable. We find that a naive version of a widely used identity relating the k²T-weighted and integrated Sivers TMD function to a renormalized twist-3 function has strongly ambiguous ultraviolet contributions, and that corrections to it are not necessarily perturbatively suppressed. We discuss the implications for applications, arguing in particular that the relevant evolution for transverse momentum weighted and integrated cross sections with sharp effective large transverse momentum cutoffs is of the TMD form rather than the standard renormalization group evolution of collinear correlation functions.

Comments

Published under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI

Original Publication Citation

Jian-Wei, Q., Rogers, T. C., & Bowen, W. (2020). Intrinsic transverse momentum and evolution in weighted spin asymmetries. Physical Review D, 101(11), 12 pp., Article 116017. https://doi.org/10.1103/PhysRevD.101.116017

ORCID

0000-0002-0762-0275 (Rogers)

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