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

Thomas Ryttov

doi:10.1103/PhysRevD.89.016013

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

Thomas Ryttov

Department of Physics, Chemistry and Pharmacy

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for nonsupersymmetric gauge theories in the modified regularization invariant 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, MS̄, scheme. Our results are of the same order when compared to the MS̄ scheme.

Translated title of the contribution	Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme
Original language	English
Article number	016013
Journal	Physical Review D
Volume	89
Number of pages	9
ISSN	2470-0010
DOIs	https://doi.org/10.1103/PhysRevD.89.016013
Publication status	Published - 2014

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hep-ph

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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 nonsupersymmetric gauge theories in the modified regularization invariant 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, M{\=S}, scheme. Our results are of the same order when compared to the M{\=S} scheme.",

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AB - We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for nonsupersymmetric gauge theories in the modified regularization invariant 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, MS̄, scheme. Our results are of the same order when compared to the MS̄ scheme.

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DO - 10.1103/PhysRevD.89.016013

M3 - Journal article

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JO - Physical Review D

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

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