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Title: Connecting different TMD factorization formalisms in QCD

Abstract

In the original Collins-Soper-Sterman (CSS) presentation of the results of transverse-momentum-dependent (TMD) factorization for the Drell-Yan process, results for perturbative coefficients can be obtained from calculations for collinear factorization. Here we show how to use these results, plus known results for the quark form factor, to obtain coefficients for TMD factorization in more recent formulations, e.g., that due to Collins, and apply them to known results at order $$\alpha_s^2$$ and $$\alpha_s^3$$. We also show that the ``non-perturbative'' functions as obtained from fits to data are equal in the two schemes. We compile the higher-order perturbative inputs needed for the updated CSS scheme by appealing to results obtained in a variety of different formalisms. In addition, we derive the connection between both versions of the CSS formalism and several formalisms based in soft-collinear effective theory (SCET). As a result, our work uses some important new results for factorization for the quark form factor, which we derive.

Authors:
 [1];  [2]
  1. Penn State Univ., University Park, PA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1391826
Alternate Identifier(s):
OSTI ID: 1389148
Report Number(s):
JLAB-THY-17-2470; DOE/OR/23177-4138; arXiv:1705.07167
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
SC0013699; AC05-06OR23177
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Collins, John, and Rogers, Ted C. Connecting different TMD factorization formalisms in QCD. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.054011.
Collins, John, & Rogers, Ted C. Connecting different TMD factorization formalisms in QCD. United States. doi:10.1103/PhysRevD.96.054011.
Collins, John, and Rogers, Ted C. Mon . "Connecting different TMD factorization formalisms in QCD". United States. doi:10.1103/PhysRevD.96.054011.
@article{osti_1391826,
title = {Connecting different TMD factorization formalisms in QCD},
author = {Collins, John and Rogers, Ted C.},
abstractNote = {In the original Collins-Soper-Sterman (CSS) presentation of the results of transverse-momentum-dependent (TMD) factorization for the Drell-Yan process, results for perturbative coefficients can be obtained from calculations for collinear factorization. Here we show how to use these results, plus known results for the quark form factor, to obtain coefficients for TMD factorization in more recent formulations, e.g., that due to Collins, and apply them to known results at order $\alpha_s^2$ and $\alpha_s^3$. We also show that the ``non-perturbative'' functions as obtained from fits to data are equal in the two schemes. We compile the higher-order perturbative inputs needed for the updated CSS scheme by appealing to results obtained in a variety of different formalisms. In addition, we derive the connection between both versions of the CSS formalism and several formalisms based in soft-collinear effective theory (SCET). As a result, our work uses some important new results for factorization for the quark form factor, which we derive.},
doi = {10.1103/PhysRevD.96.054011},
journal = {Physical Review D},
number = 5,
volume = 96,
place = {United States},
year = {Mon Sep 11 00:00:00 EDT 2017},
month = {Mon Sep 11 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 11, 2018
Publisher's Version of Record

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Cited by: 2works
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