Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

New insights into two-loop running in effective field theories

Mikael Chala, Javier López Miras

Abstract

We show that, by viewing a 4D effective-field theory as the infrared (IR) limit of the compactified version in 5D, we can compute two-loop anomalous dimensions without gauge-breaking counter-terms, IR re-arrangement or geometric methods. The ultraviolet (UV) divergences in 4D are read from the IR ones in the matching from 5D to 4D. We use this approach to cross-check recent results in the literature, as well as to compute novel two-loop anomalous dimensions in the SMEFT to dimension eight and certain critical exponents in the charged fixed point of the Abelian Higgs model at large number of flavors.

New insights into two-loop running in effective field theories

Abstract

We show that, by viewing a 4D effective-field theory as the infrared (IR) limit of the compactified version in 5D, we can compute two-loop anomalous dimensions without gauge-breaking counter-terms, IR re-arrangement or geometric methods. The ultraviolet (UV) divergences in 4D are read from the IR ones in the matching from 5D to 4D. We use this approach to cross-check recent results in the literature, as well as to compute novel two-loop anomalous dimensions in the SMEFT to dimension eight and certain critical exponents in the charged fixed point of the Abelian Higgs model at large number of flavors.

Paper Structure

This paper contains 8 sections, 44 equations, 2 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Motivation
  3. 4D as the low-energy limit of 5D
  4. Applications
  5. SMEFT RGEs at dimensions six and eight
  6. CFT spectrum in the Abelian Higgs model
  7. Conclusions
  8. Explicit example to higher-order in gauge coupling

Figures (2)

  • Figure 1: Relevant diagrams (up to permutations of external legs) for the two-loop renormalization of the quartic coupling in scalar field theory. Gray blobs represent one-loop counterterms.
  • Figure 2: Relative difference (in percent) between the the eigenvalues of the dimension-six singlet ADM in the large-flavor Abelian Higgs model up to one- and two-loop order.