English

Matching relations for decoupling in the Standard Model at two loops and beyond

High Energy Physics - Phenomenology 2019-02-20 v3

Abstract

I discuss the matching relations for the running renormalizable parameters when the heavy particles (top quark, Higgs scalar, Z and W vector bosons) are simultaneously decoupled from the Standard Model. The complete two-loop order matching for the electromagnetic coupling and all light fermion masses are obtained, augmenting existing results at 4-loop order in pure QCD and complete two-loop order for the strong coupling. I also review the further sequential decouplings of the lighter fermions (bottom quark, tau lepton, and charm quark) from the low-energy effective theory.

Keywords

Cite

@article{arxiv.1812.04100,
  title  = {Matching relations for decoupling in the Standard Model at two loops and beyond},
  author = {Stephen P. Martin},
  journal= {arXiv preprint arXiv:1812.04100},
  year   = {2019}
}

Comments

28 pages. v2: references added. v3: minor cosmetic notational change

R2 v1 2026-06-23T06:38:13.607Z