Composite Higgs and leptoquarks from a simple group

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 $R_{K^{(\ast )}}^{\mu e}$. 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 $Z{b}_L{\bar{b}}_L$ saturating the current bounds, and a very reach phenomenology at LHC. We also study the possibility of explaining $R_{D^{(\ast )}}^{\tau \ell }$.

arXiv comment36 pages, 4 figures, v2: typos corrected, references added

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Cited by in corpus (11)

• Unified Framework for $B$-Anomalies, Muon $g-2$, and Neutrino Masses
• Combined explanations of $(g-2{)}_{\mu }$, $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ anomalies in a two-loop radiative neutrino mass model
• $R_2$ as a single leptoquark solution to $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$
• A Common Origin of Neutrino Masses and $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ Anomalies
• Inclusive nonresonant multilepton probes of new phenomena at $\sqrt{s}=$ 13 TeV
• A model for the Singlet-Triplet Leptoquarks
• A vector leptoquark for the B-physics anomalies from a composite GUT
• Marriage between neutrino mass and flavor anomalies
• The Minimal Simple Composite Higgs Model
• Non-resonant Leptoquark with multigeneration couplings to $\mu \mu jj$ and $\mu \nu jj$ at LHC
• Enhancement of the double Higgs production via leptoquarks at the LHC