4.4 Article

Two-loop rational terms for spontaneously broken theories

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2022)105

Keywords

Perturbative QCD; Scattering Amplitudes; Spontaneous Symmetry Breaking

Funding

  1. Swiss National Science Foundation (SNSF) [BSCGI0-157722]
  2. SNSF Ambizione [PZ00P2-179877]
  3. Swiss National Science Foundation (SNF) [PZ00P2_179877] Funding Source: Swiss National Science Foundation (SNF)

Ask authors/readers for more resources

In this paper, we present a systematic method for determining rational counterterms in spontaneously broken theories. By introducing a generalised vev-expansion approach, we are able to efficiently determine the full set of rational counterterms for the Standard Model at two loops.
Rational counterterms are a key ingredient for the automation of loop calculations through numerical methods. Building on the recently established properties of rational terms of UV origin at two loops, in this paper we present a systematic method for the determination of rational counterterms within spontaneously broken theories. In particular we introduce a generalised vev-expansion approach that makes it possible to obtain the rational counterterms of UV origin for a spontaneously broken theory by means of calculations in the unbroken phase. The drastic simplifications that result from the underlying symmetry open the door to the efficient determination of rational counterterms for the full Standard Model at two loops. The renormalisation-scheme dependence is analysed in detail, and we show that rational counterterms need to be determined only once and for all in a generic renormalisation scheme for the symmetric phase and, a posteriori, they can be easily adapted to a wide range of physical renormalisation schemes for the spontaneously broken phase. As a first application we determine the full set of O(alpha(2)(S)) rational counterterms of UV origin for the full Standard Model, i.e. for all superficially UV-divergent two-loop vertex functions involving combinations of gluons, quarks, electroweak vector bosons and scalar bosons.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available