## 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_{ρππ} ≃ 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.

Original language | English |
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Article number | 117 |

Journal | Journal of High Energy Physics |

Volume | 2021 |

Issue number | 4 |

Number of pages | 17 |

ISSN | 1126-6708 |

DOIs | |

Publication status | Published - Apr 2021 |

### Bibliographical note

Publisher Copyright:© 2021, The Author(s).

## Keywords

- Lattice field theory simulation
- Phenomenological Models