Update on SU(2) gauge theory with NF = 2 fundamental flavours.

P Fritzsch,M Della Morte,E Gámiz Sánchez,C Pena Ruano,Vincent Drach,Tadeusz Janowski,Claudio Pica

doi:10.1051/epjconf/201817508020

P Fritzsch, M Della Morte + Show 5 more

Open Access

https://doi.org/10.1051/epjconf/201817508020

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Abstract

We present a non perturbative study of SU(2) gauge theory with two fundamental Dirac flavours. This theory provides a minimal template which is ideal for a wide class of Standard Model extensions featuring novel strong dynamics, such as a minimal realization of composite Higgs models. We present an update on the status of the meson spectrum and decay constants based on increased statistics on our existing ensembles and the inclusion of new ensembles with lighter pion masses, resulting in a more reliable chiral extrapolation. Preprint: CP3-Origins-2017-048 DNRF90

Highlights

The discovery of the Higgs boson in 2012 was a major breakthrough which confirmed the missing piece of the Standard Model (SM)
If we assume that the Standard Model is valid up to energy scale Λ, the Higgs boson pole mass will be given by m2H = m2R(Λ) − Σ(Λ), where mR is a renormalised mass, which depends on the unknown UV details of the theory, and Σ is the self-energy of the Higgs boson which is proportional to the square of the cutoff Σ ∝ Λ2
We presented updated results for the spectrum of SU(2) gauge theory with 2 quarks in the fundamental representation, which is the minimal realization of a UV-complete composite Goldstone Higgs model

Summary

Introduction

The discovery of the Higgs boson in 2012 was a major breakthrough which confirmed the missing piece of the Standard Model (SM). In technicolor models [1, 2] the generation of a techniquark condensate breaks the electroweak symmetry giving masses to W and Z bosons. The second class of composite models goes under the name of composite (Goldstone) Higgs models [4, 5] To technicolor, such models feature a new strong sector with hyperquarks featuring an enlarged global flavor symmetry. The global flavor symmetry breaking of the new strong sector generates a number of Goldstone bosons, four of which take the role of the SM Higgs doublet. The concrete realization of composite Goldstone Higgs model considered here is SU(2) with 2 flavours of hyperquarks in fundamental representation [6].

Lattice setup

Results

Meson masses

Conclusions