Non-perturbative analysis of the spectrum of meson resonances in an ultraviolet-complete composite-Higgs model

Abstract : We consider a vector-like gauge theory of fermions that confines at the multi-TeV scale, and that realizes the Higgs particle as a composite Goldstone boson. The weak interactions are embedded in the unbroken subgroup $Sp(4)$ of a spontaneously broken $SU(4)$ flavour group. The meson resonances appear as poles in the two-point correlators of fermion bilinears, and include the Goldstone bosons plus a massive pseudoscalar $\eta'$, as well as scalars, vectors and axial vectors. We compute the mass spectrum of these mesons, as well as their decay constants, in the chiral limit, in the approximation where the hypercolour $Sp(2N)$ dynamics is described by four-fermion operators. This approach generalises the Nambu-Jona Lasinio model for QCD, and it amounts to the resummation of leading diagrams in the $1/N$ expansion. We find that the spin-one states lie beyond the LHC reach, while spin-zero electroweak-singlet states may be as light as the Goldstone-boson decay constant, $f\sim 1$ TeV. We also confront our results with a set of available spectral sum rules. In order to supply composite top-quark partners, the theory contains additional fermions carrying both hypercolour and ordinary colour, with an associated flavour symmetry-breaking pattern $SU(6)/SO(6)$. We identify and analyse several non-trivial features of the complete two-sector gauge theory: the 't Hooft anomaly matching conditions; the higher-dimension operator which incorporates the effects of the hypercolour axial-singlet anomaly; the coupled mass-gap equations; the mixing between the singlet mesons of the two sectors. Assuming that the strength of the four-fermion interaction is the same in the two sectors, we find that the coloured vector and scalar mesons have masses $\gtrsim 4 f$, while the masses of coloured pseudo-Goldstone bosons, induced by gluon loops, are $\gtrsim 1.5f$.
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Article dans une revue
Physical Review D, American Physical Society, 2017, 95 (7), pp.075006 〈10.1103/PhysRevD.95.075006〉
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https://hal.archives-ouvertes.fr/hal-01398833
Contributeur : L2c Aigle <>
Soumis le : jeudi 17 novembre 2016 - 18:44:54
Dernière modification le : mardi 10 octobre 2017 - 10:32:31

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Nicolas Bizot, Michele Frigerio, Marc Knecht, Jean-Loïc Kneur. Non-perturbative analysis of the spectrum of meson resonances in an ultraviolet-complete composite-Higgs model. Physical Review D, American Physical Society, 2017, 95 (7), pp.075006 〈10.1103/PhysRevD.95.075006〉. 〈hal-01398833〉

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