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

Vincent Drach*, Tadeusz Janowski, Claudio Pica, Sasa Prelovsek

*Corresponding author for this work

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Abstract

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We calculate the coupling between a vector resonance and two Goldstone bosons in SU(2) gauge theory with <jats:italic>N</jats:italic><jats:sub><jats:italic>f</jats:italic></jats:sub> = 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 <jats:italic>g</jats:italic><jats:sub>VPP</jats:sub> = 7<jats:italic>.</jats:italic>8 <jats:italic>±</jats:italic> 0<jats:italic>.</jats:italic>6, not far from <jats:italic>g</jats:italic><jats:sub><jats:italic>ρππ</jats:italic></jats:sub> ≃ 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 <jats:inline-formula><jats:alternatives><jats:tex-math>$$ {g}_{\mathrm{VPP}}^{\mathrm{KSRF}} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>g</mml:mi> <mml:mi>VPP</mml:mi> <mml:mtext>KSRF</mml:mtext> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> = 9<jats:italic>.</jats:italic>4 <jats:italic>±</jats:italic> 0<jats:italic>.</jats:italic>6 assuming the vector-dominance and find that this phenomenological estimate slightly overestimates the value of the coupling.</jats:p>
Original languageEnglish
Number of pages0
JournalJournal of High Energy Physics
Volume2021
Issue number4
Early online date13 Apr 2021
DOIs
Publication statusPublished - Apr 2021

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