Partial compositeness and baryon matrix elements on the lattice

Venkitesh Ayyar, Thomas Degrand, Daniel C. Hackett, William I. Jay, Ethan T. Neil, Yigal Shamir, Benjamin Svetitsky

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Partial compositeness is a mechanism for the generation of fermion masses which replaces a direct Higgs coupling to the fermions by a linear mixing with heavy composite partners. We present the first calculation of the relevant matrix element in a lattice model which is very close to a candidate theory containing a composite Higgs boson and a partially composite top quark. Specifically, our model is an SU(4) gauge theory coupled to dynamical fermions in the fundamental and two-index antisymmetric (sextet) representations. The matrix element we obtain is small and hence our result disfavors the scenario of obtaining a realistic top mass in this model.

Original languageEnglish
Article number094502
JournalPhysical Review D
Issue number9
StatePublished - 1 May 2019


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