One-loop corrections to h arrow right ... and h arrow right ... decays in the Standard Model dimension-6 EFT: four-fermion operators and the large-m sub( )tlimit

• Published in: The journal of high energy physics Vol. 2016; no. 5; pp. 1 - 37
• Main Authors: Gauld, Rhorry, Pecjak, Benjamin D, Scott, Darren J
• Format: Journal Article
• Language: English
• Published: 01.05.2016
• Subjects: Byproducts; Couplings; Decay; Gages; Mathematical analysis; Mathematical models; Operators; Standard model (particle physics)
• ISSN: 1029-8479
• DOI: 10.1007/JHEP05(2016)080

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).We calculate a set of one-loop corrections to h arrow right ... and h arrow right ... decays in the dimension-6 Standard Model effective field theory (SMEFT). In particular, working in the limit of vanishing gauge couplings, we calculate directly in the broken phase of the theory all large logarithmic corrections and in addition the finite corrections in the large-m sub( )tlimit. Moreover, we give exact results for one-loop contributions from four-fermion operators. We obtain these corrections within an extension of the widely used on-shell renormalisation scheme appropriate for SMEFT calculations, and show explicitly how UV divergent bare amplitudes from a total of 21 different SMEFT operators are rendered finite within this scheme. As a by-product of the calculation, we also compute to one-loop order the logarithmically enhanced and finite large-m sub( )tcorrections to muon decay in the limit of vanishing gauge couplings, which is necessary to implement the G sub( )Finput parameter scheme within the SMEFT.