Determination of the pseudoscalar decay constant from SU(2) with two fundamental flavors

TL;DR

This paper reports on the non-perturbative calculation of the pseudoscalar decay constant in an SU(2) gauge theory with two fundamental flavors, relevant for composite Higgs models, using advanced lattice simulation techniques.

Contribution

It introduces a mixed-action lattice setup with improved Wilson Fermions and twisted valence quarks, and utilizes GPU acceleration for the first time in this context.

Findings

Preliminary continuum limit results for the decay constant.

Successful implementation of GPU-accelerated simulations.

Enhanced precision in non-perturbative observable determination.

Abstract

The SU(2) gauge group with two fundamental flavors is a candidate for a composite Higgs extension of the Standard Model. Central to Higgs phenomenology is a non-perturbative determination of observables of the theory, such as the decay constant of the pseudo-Nambu-Goldstone Bosons. We present preliminary results for the continuum limit of the pseudoscalar decay constant using a mixed-action setup, with non-perturbatively improved stabilized Wilson Fermions on the sea, and maximally twisted valence quarks. Pivotal to this study is the recent porting of our simulation suite HiRep to GPU architecture.