# Gauge contribution to the 1/NF expansion of the Yukawa coupling beta function

@article{Kowalska2017GaugeCT,
title={Gauge contribution to the 1/NF expansion of the Yukawa coupling beta function},
author={Kamila Kowalska and Enrico Maria Sessolo},
journal={Journal of High Energy Physics},
year={2017},
volume={2018},
pages={1-17}
}
• Published 19 December 2017
• Physics
• Journal of High Energy Physics
A bstractWe provide a closed analytical form for the gauge contribution to the beta function of a generic Yukawa coupling in the limit of large NF , where NF is the number of heavy vector-like fermions charged under an abelian or non-abelian gauge group. The resummed expression is finite and for the abelian case presents a pole at the same location as for the corresponding gauge beta function. When applied to new physics scenarios characterized by large Yukawa couplings, the contribution… Expand

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#### References

SHOWING 1-10 OF 31 REFERENCES
On the One-Loop Yukawa Coupling Beta-Function to Order Yg 2 in a General Gauge and its Gauge Independence
We present the calculation of the one-loop Yukawa coupling beta function to order Yg 2 in a general gauge, where Y and g are Yukawa and gauge couplings. We show explicitly how the gauge parameterExpand
Asymptotically safe standard model extensions
• Physics
• 2018
We consider theories with a large number NF of charged fermions and compute the renormalization group equations for the gauge, Yukawa and quartic couplings resummed at leading order in 1=NF. We Expand
The 1/NF expansion of the γ and β functions in Q.E.D.
• Mathematics
• 1984
The Callan-Symanzikγ- andβ-functions are calculated analytically for Q.E.D. in the limit of a large number of leptons (NF→∞) up to terms of order 1/NF inclusive. We give closed analytic expressionsExpand
Large N flavor β-functions: A recap
Abstract β-Functions for abelian and nonabelian gauge theories are studied in the regime where the large N flavor expansion is applicable. The first nontrivial order in the 1 / N expansion is knownExpand
Gauge Independent Critical Exponents for QED Coupled to a Four Fermi Interaction with and without a Chern Simons Term
Abstract We apply the self-consistency method for determining critical exponents to a model with a four fermi interaction coupled to QED and compute various gauge independent exponents in arbitraryExpand
Critical point analysis of various fermionic field theories in the large N expansion
Computes the critical exponents corresponding to the anomalous dimensions of the fields and vertices in a model involving fermions with a four point interaction, coupled to a U(1) gauge field, atExpand
Analysis of Abelian gauge theory with four-fermi interaction at O(1/N2) in arbitrary dimensions
An arbitrary dimensional expression is given for the anomalous dimension of the fermion field in a model with a four-point interaction and a U(1) gauge field, at O(1/N2) within a large flavourExpand
The γ function in the 1/Nf expansion
• Physics
• 1982
The Callan-Symanzik γ-function is studied in the large number of lepton (in QED) or flavour (in QCD) limit. We have computed analytically 7 terms and they show a striking factorization. We haveExpand
Conformal window 2.0: The large Nf safe story
• Physics
• Physical Review D
• 2018
We extend the phase diagram of SU(N) gauge-fermion theories as function of number of flavours and colours to the region in which asymptotic freedom is lost. We argue, using large $N_f$ results, forExpand
Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization
• Physics
• 1983
The two-loop renormalization group equations in a general renormalizable field theory with scalar, spin-12, and (vector) gauge fields are considered. In this paper, the anomalous dimensionsExpand