The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

Johannes Blümlein; Peter Marquard; Carsten Schneider; K. Schönwald

doi:10.1016/j.nuclphysb.2021.115542

The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

Johannes Blümlein
, Peter Marquard
, Carsten Schneider
, K. Schönwald

Research Institute for Symbolic Computation

Research output: Contribution to journal › Article › peer-review

Abstract

We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{rm NS}^+, P_{rm NS}^-$ and $P_{rm NS}^{rm s}$ in QCD in the $overline{sf MS}$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions $P_{rm NS}^{rm pm, tr}$ for transversity directly. We compare our results to the literature. Note: arXiv:2107.06267 [hep-ph]

Original language	English
Article number	115542
Pages (from-to)	1-44
Number of pages	44
Journal	Nuclear Physics B
Volume	971
DOIs	https://doi.org/10.1016/j.nuclphysb.2021.115542
Publication status	Published - Oct 2021

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

JKU Focus areas

Digital Transformation

Access to Document

10.1016/j.nuclphysb.2021.115542

Cite this

@article{c775cdd070da4176839e62f076cb44a5,

title = "The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements",

abstract = "We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions \$P\_\{rm NS\}\textasciicircum{}+, P\_\{rm NS\}\textasciicircum{}-\$ and \$P\_\{rm NS\}\textasciicircum{}\{rm s\}\$ in QCD in the \$overline\{sf MS\}\$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions \$P\_\{rm NS\}\textasciicircum{}\{rm pm, tr\}\$ for transversity directly. We compare our results to the literature. Note: arXiv:2107.06267 [hep-ph]",

author = "Johannes Bl{\"u}mlein and Peter Marquard and Carsten Schneider and K. Sch{\"o}nwald",

year = "2021",

month = oct,

doi = "10.1016/j.nuclphysb.2021.115542",

language = "English",

volume = "971",

pages = "1--44",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "arXiv",

}

TY - JOUR

T1 - The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

AU - Blümlein, Johannes

AU - Marquard, Peter

AU - Schneider, Carsten

AU - Schönwald, K.

PY - 2021/10

Y1 - 2021/10

N2 - We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{rm NS}^+, P_{rm NS}^-$ and $P_{rm NS}^{rm s}$ in QCD in the $overline{sf MS}$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions $P_{rm NS}^{rm pm, tr}$ for transversity directly. We compare our results to the literature. Note: arXiv:2107.06267 [hep-ph]

AB - We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{rm NS}^+, P_{rm NS}^-$ and $P_{rm NS}^{rm s}$ in QCD in the $overline{sf MS}$ scheme by using the traditional method of space--like off shell massless operator matrix elements. This is a gauge--dependent framework. For the first time we also calculate the three--loop anomalous dimensions $P_{rm NS}^{rm pm, tr}$ for transversity directly. We compare our results to the literature. Note: arXiv:2107.06267 [hep-ph]

UR - https://www.scopus.com/pages/publications/85116400244

U2 - 10.1016/j.nuclphysb.2021.115542

DO - 10.1016/j.nuclphysb.2021.115542

M3 - Article

SN - 0550-3213

VL - 971

SP - 1

EP - 44

JO - Nuclear Physics B

JF - Nuclear Physics B

M1 - 115542

ER -

The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Cite this