Gauge contribution to the 1/N F expansion of the Yukawa coupling beta function

  • Kamila Kowalska
  • Enrico Maria Sessolo
Open Access
Regular Article - Theoretical Physics


We provide a closed analytical form for the gauge contribution to the beta function of a generic Yukawa coupling in the limit of large N F , where N F 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 calculated here can cure their pathological UV behavior and make the couplings asymptotically free.


1/N Expansion Beyond Standard Model Renormalization Group 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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© The Author(s) 2018

Authors and Affiliations

  1. 1.National Centre for Nuclear Research,WarsawPoland

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