Five loop anomalous dimension of non-singlet quark currents in the RI' scheme

Gracey, JA (2023) Five loop anomalous dimension of non-singlet quark currents in the RI' scheme. EUROPEAN PHYSICAL JOURNAL C, 83 (2). 181-.

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Official URL: http://dx.doi.org/10.1140/epjc/s10052-022-11088-0

Abstract

<jats:title>Abstract</jats:title><jats:p>We construct the five loop anomalous dimensions of the basic fields in Quantum Chromodynamics in a linear covariant gauge in the modified Regularization Invariant (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{RI}^\prime $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>RI</mml:mtext> <mml:mo>′</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>) scheme. Using these core results we also compute the four loop Green’s function where the quark mass operator and vector current are separately inserted in a quark 2-point function. These are necessary for measurements of the same quantities on the lattice. The Green’s functions are provided in both the modified Minimal Subtraction (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\overline{\textrm{MS}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mtext>MS</mml:mtext> <mml:mo>¯</mml:mo> </mml:mover> </mml:math></jats:alternatives></jats:inline-formula>) and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{RI}^\prime $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>RI</mml:mtext> <mml:mo>′</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula> schemes. All the results are available for a general Lie group.</jats:p>

Item Type:	Article
Uncontrolled Keywords:	5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 51 Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	24 Oct 2022 07:45
Last Modified:	20 Jun 2024 21:59
DOI:	10.1140/epjc/s10052-022-11088-0
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3165704