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} . 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 saturating the current bounds, and a very reach phenomenology at LHC. We also study the possibility of explaining {R}_{D^{left(*right)}}^{tau ell } .
Highlights
The experiments at LHC have discovered the Higgs, measuring many of its properties
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 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
Summary
The experiments at LHC have discovered the Higgs, measuring many of its properties. Despite the impressive level of accuracy of these measurements, the question about the nature of the Higgs and the dynamics that stabilises its potential is still open, since neither new particles, nor large deviations associated to Higgs physics, have been found yet. A strongly coupled field theory (SCFT), with resonances at the scale of few TeV, could provide a solution to the stability of the Higgs potential, as well as to the B-anomalies. In this framework, partial compositeness of the SM fermions, gives a rationale for the flavor puzzle, and explains the preferential coupling of the resonances with the third generation. In order to make precise predictions, we consider a description of the resonances of the SCFT in terms of a two-site theory, that provides a weakly coupled description of the composite dynamics.
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