Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice

Drach, Vincent and Janowski, Tadeusz and Pica, Claudio and Prelovsek, Sasa (2021) Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice. JOURNAL OF HIGH ENERGY PHYSICS (4): 117. ISSN 1029-8479,

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Abstract

We calculate the coupling between a vector resonance and two Goldstone bosons in SU(2) gauge theory with N-f = 2 Dirac fermions in the fundamental representation. The considered theory can be used to construct a minimal Composite Higgs models. The coupling is related to the width of the vector resonance and we determine it by simulating the scattering of two Goldstone bosons where the resonance is produced. The resulting coupling is g(VPP) = 7.8 +/- 0.6, not far from g(rho pi pi) similar or equal to 6 in QCD. This is the first lattice calculation of the resonance properties for a minimal UV completion. This coupling controls the production cross section of the lightest expected resonance at the LHC and enters into other tests of the Standard Model, from Vector Boson Fusion to electroweak precision tests. Our prediction is crucial to constrain the model using lattice input and for understanding the behavior of the vector meson production cross section as a function of the underlying gauge theory. We also extract the coupling gVPPKSRF = 9.4 +/- 0.6 assuming the vector-dominance and find that this phenomenological estimate slightly overestimates the value of the coupling.

Item Type: Article
Uncontrolled Keywords: NONPERTURBATIVE RENORMALIZATION; PHASE-SHIFTS; Lattice field theory simulation; Phenomenological Models
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Sep 2022 06:18
Last Modified: 20 Sep 2022 06:18
URI: https://pred.uni-regensburg.de/id/eprint/47590

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