Composite Higgs and leptoquarks from a simple group

Author:

Da Rold Leandro,Lamagna Federico

Abstract

Abstract We propose a composite grand unified theory to study the anomalies in the semileptonic B decays. We show a simple group containing the custodial and Standard Model gauge symmetries, that can deliver a set of composite pseudo Nambu-Goldstone bosons: the Higgs, a colorless SU(2) L -fourplet and three leptoquarks: a triplet and two doublets. We give a description in terms of an effective theory of resonances. By assuming anarchic partial compositeness of the Standard Model fermions, we find representations for the composite fermions that allow to obtain the Higgs Yukawa couplings, as well as leptoquark interactions explaining the deviations in $$ {R}_{K^{\left(*\right)}}^{\mu e} $$ R K * μ e . We calculate the one-loop potential, we show that it can trigger electroweak symmetry breaking and we find a region of the parameter space that can reproduce the Standard Model spectrum. The model predicts leptoquark masses of order 0.4–1.3 TeV, corrections to some electroweak observables, with $$ Z{b}_L{\overline{b}}_L $$ Z b L b ¯ L saturating the current bounds, and a very reach phenomenology at LHC. We also study the possibility of explaining $$ {R}_{D^{\left(*\right)}}^{\tau \ell } $$ R D * τ .

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference53 articles.

1. LHCb collaboration, Test of lepton universality with B 0 → K *0 ℓ + ℓ − decays, JHEP 08 (2017) 055 [arXiv:1705.05802] [INSPIRE].

2. BaBar collaboration, Measurement of an Excess of $$ \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } $$ Decays and Implications for Charged Higgs Bosons, Phys. Rev. D 88 (2013) 072012 [arXiv:1303.0571] [INSPIRE].

3. Belle collaboration, Measurement of the τ lepton polarization and R(D *) in the decay $$ \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } $$, Phys. Rev. Lett. 118 (2017) 211801 [arXiv:1612.00529] [INSPIRE].

4. LHCb collaboration, Measurement of the ratio of branching fractions $$ \mathrm{\mathcal{B}}\left({\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau}\right)/\mathrm{\mathcal{B}}\left({\overline{B}}^0\to {D}^{\ast +}{\mu}^{-}{\overline{\nu}}_{\mu}\right) $$, Phys. Rev. Lett. 115 (2015) 111803 [Erratum ibid. 115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].

5. N. Assad, B. Fornal and B. Grinstein, Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models, Phys. Lett. B 777 (2018) 324 [arXiv:1708.06350] [INSPIRE].

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