# Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme

Research output: Contribution to journalJournal articleResearchpeer-review

### Abstract

We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for non-supersymmetric gauge theories in the modified regularization invariant, RI', scheme. This is done at the three loop level where all the renormalization group functions have been calculated explicitly. The purpose is to assess the scheme dependence of earlier and similar investigations performed at three and four loop order in the modified minimal subtraction, $\bar{\text{MS}}$, scheme. Our results are of the same order when compared to the $\bar{\text{MS}}$ scheme.
Original language English 016013 Physical Review D 89 9 2470-0010 https://doi.org/10.1103/PhysRevD.89.016013 Published - 2014

• hep-ph

### Cite this

@article{24e18ac837d94fa3bfc513868e0cf31e,
title = "Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme",
abstract = "We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for non-supersymmetric gauge theories in the modified regularization invariant, RI', scheme. This is done at the three loop level where all the renormalization group functions have been calculated explicitly. The purpose is to assess the scheme dependence of earlier and similar investigations performed at three and four loop order in the modified minimal subtraction, $\bar{\text{MS}}$, scheme. Our results are of the same order when compared to the $\bar{\text{MS}}$ scheme.",
keywords = "hep-ph",
author = "Thomas Ryttov",
year = "2014",
doi = "10.1103/PhysRevD.89.016013",
language = "English",
volume = "89",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",

}

In: Physical Review D, Vol. 89, 016013, 2014.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme

AU - Ryttov, Thomas

PY - 2014

Y1 - 2014

N2 - We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for non-supersymmetric gauge theories in the modified regularization invariant, RI', scheme. This is done at the three loop level where all the renormalization group functions have been calculated explicitly. The purpose is to assess the scheme dependence of earlier and similar investigations performed at three and four loop order in the modified minimal subtraction, $\bar{\text{MS}}$, scheme. Our results are of the same order when compared to the $\bar{\text{MS}}$ scheme.

AB - We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for non-supersymmetric gauge theories in the modified regularization invariant, RI', scheme. This is done at the three loop level where all the renormalization group functions have been calculated explicitly. The purpose is to assess the scheme dependence of earlier and similar investigations performed at three and four loop order in the modified minimal subtraction, $\bar{\text{MS}}$, scheme. Our results are of the same order when compared to the $\bar{\text{MS}}$ scheme.

KW - hep-ph

U2 - 10.1103/PhysRevD.89.016013

DO - 10.1103/PhysRevD.89.016013

M3 - Journal article

VL - 89

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

M1 - 016013

ER -