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One-loop corrections to h → bb¯ and h → ττ¯ decays in the Standard Model dimension-6 EFT: four-fermion operators and the large-m t limit

Gauld, Rhorry; Pecjak, Benjamin D.; Scott, Darren J.

One-loop corrections to h → bb¯ and h → ττ¯ decays in the Standard Model dimension-6 EFT: four-fermion operators and the large-m t limit Thumbnail


Authors

Rhorry Gauld

Darren J. Scott



Abstract

We calculate a set of one-loop corrections to h → bb¯¯bb¯ and h → ττ¯¯¯ττ¯ 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 t limit. 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 t corrections to muon decay in the limit of vanishing gauge couplings, which is necessary to implement the G F input parameter scheme within the SMEFT.

Citation

Gauld, R., Pecjak, B. D., & Scott, D. J. (2016). One-loop corrections to h → bb¯ and h → ττ¯ decays in the Standard Model dimension-6 EFT: four-fermion operators and the large-m t limit. Journal of High Energy Physics, 2016(5), Article 080. https://doi.org/10.1007/jhep05%282016%29080

Journal Article Type Article
Acceptance Date May 1, 2016
Online Publication Date May 13, 2016
Publication Date May 13, 2016
Deposit Date May 25, 2016
Publicly Available Date Jun 21, 2016
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 5
Article Number 080
DOI https://doi.org/10.1007/jhep05%282016%29080

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Author(s) 2016 Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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