Top-Yukawa effects on the β-function of the strong coupling in the SM at four-loop level

2015/08/31 by M. F. Zoller · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1007/jhep02(2016)095

published as JHEP 1602 (2016) 095 · v2: more sophisticated treatment and more detailed description of the non-naive γ_5 contribution; Ref. added. v3: this the version published in JHEP; references [49,50] fixed; v4: changed statement on p.8: a different gamma_5 treatment only leads to a factor 3, not a factor 6 in the non-naive part compared to the prescription used in this paper. Note added on recent developments (p. 12)

arxiv created 2016/08/31 · arxiv updated 2017/07/25

Abstract

We present analytical results for the QCD β-function extended to the gaugeless limit of the unbroken phase of the Standard Model at four-loop level. Apart from the strong coupling itself we include the top-Yukawa contribution and the Higgs self-coupling. We observe a non-naive γ₅ contribution at order y_t⁴ g_s⁴, a feature not encountered in lower loop orders.

Cited by

• Bare effective potential and Goldstone boson anti-resummation