Effective Theory for a Heavy Scalar Coupled to the SM via Vector-Like Quarks

Abstract

We illustrate the application of the recently developed SCET${}_{\mathrm{BSM}}$ framework in the context of a specific model, in which the Standard Model (SM) is supplemented by a heavy scalar $S$ and three generations of heavy, vector-like quarks $\Psi$. We construct the appropriate effective field theory for two-body decays of $S$ into SM particles. We explicitly compute the Wilson coefficients of the SCET${}_{\mathrm{BSM}}$ operators appearing at leading and next-to-leading order (NLO) in an expansion in powers of $v/M_S$, as well as for a subset of operators arising at NNLO, retaining the full dependence on the ratio $M_S/M_{\Psi }$. For the phenomenologically most relevant decay channels of the heavy scalar, we study the impact of resummation effects of Sudakov logarithms on the decay rates.

arXiv comment11 pages, 6 figures

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Cited by in corpus (2)

• External leg corrections as an origin of large logarithms
• Effective Field Theory for Heavy Vector Resonances Coupled to the Standard Model