Transverse parton distribution and fragmentation functions at NNLO: the quark case

Publikationstyp:

Zeitschriftenaufsatz

Metadaten:

Autoren

Ming-Xing Luo
Xing Wang
Xiaofeng Xu
Li Lin Yang
Tong-Zhi Yang
Hua Xing Zhu

Autoren-URL

https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000491426500001&DestLinkType=FullRecord&DestApp=WOS_CPL

DOI

10.1007/JHEP10(2019)083

Externe Identifier

Clarivate Analytics Document Solution ID: JF5LC

ISSN

1029-8479

Ausgabe der Veröffentlichung

Zeitschrift

JOURNAL OF HIGH ENERGY PHYSICS

Schlüsselwörter

Effective Field Theories
Perturbative QCD

Artikelnummer

ARTN 083

Datum der Veröffentlichung

2019

Status

Published

Titel

Transverse parton distribution and fragmentation functions at NNLO: the quark case

Sub types

Article

Datenquelle: Web of Science (Lite)

Andere Metadatenquellen:

Abstract

Abstract We revisit the calculation of perturbative quark transverse momentum de- pendent parton distribution functions and fragmentation functions using the exponential regulator for rapidity divergences. We show that the exponential regulator provides a consistent framework for the calculation of various ingredients in transverse momentum dependent factorization. Compared to existing regulators in the literature, the exponential regulator has a couple of advantages which we explain in detail. As a result, the calcula- tion is greatly simplified and we are able to obtain the next-to-next-to-leading order results up to O(E 2) in dimensional regularization. These terms are necessary for a higher order calculation which is made possible with the simplification brought by the new regulator. As a by-product, we have obtained the two-loop quark jet function for the Energy-Energy Correlator in the back-to-back limit, which is the last missing ingredient for its N3LL resummation.

Autoren

Ming-Xing Luo
Xing Wang
Xiaofeng Xu
Li Lin Yang
Tong-Zhi Yang
Hua Xing Zhu

DOI

10.1007/jhep10(2019)083

eISSN

1029-8479

Ausgabe der Veröffentlichung

Zeitschrift

Journal of High Energy Physics

Sprache

Artikelnummer

Online publication date

2019

Datum der Veröffentlichung

2019

Status

Published

Herausgeber

Springer Science and Business Media LLC

Herausgeber URL

http://dx.doi.org/10.1007/jhep10(2019)083

Datum der Datenerfassung

2021

Titel

Transverse parton distribution and fragmentation functions at NNLO: the quark case

Ausgabe der Zeitschrift

2019

Datenquelle: Crossref

Abstract

We revisit the calculation of perturbative quark transverse momentum dependent parton distribution functions and fragmentation functions using the exponential regulator for rapidity divergences. We show that the exponential regulator provides a consistent framework for the calculation of various ingredients in transverse momentum dependent factorization. Compared to existing regulators in the literature, the exponential regulator has a couple of advantages which we explain in detail. As a result, the calculation is greatly simplified and we are able to obtain the next-to-next-to-leading order results up to $\mathcal{O}(\epsilon^2)$ in dimensional regularization. These terms are necessary for a higher order calculation which is made possible with the simplification brought by the new regulator. As a by-product, we have obtained the two-loop quark jet function for the Energy-Energy Correlator in the back-to-back limit, which is the last missing ingredient for its N$^3$LL resummation.

Autoren