SU(2)_L deconstruction and flavour (non)-universality
arxiv(2024)
摘要
We study two-site deconstructions of the SU(2)_L gauge group factor of the
SM. Models based on this approach can explain the hierarchies of the quark
masses and CKM mixing between the third and light families if these fields are
localised on different sites, leading to a global accidental U(2)_q×
U(3)_u× U(3)_d flavour symmetry. This symmetry prevents dangerously large
effects in flavour observables, making a TeV scale realisation possible. Given
the structure of PMNS matrix in the neutrino sector, we explore different
possibilities for the arrangement of the leptons on the two sites, and consider
different models with U(2)_ℓ or U(3)_ℓ flavour symmetries. The
phenomenology of the models is mostly governed by a massive vector triplet of
SU(2)_L. We study the interesting interplay between LHC searches and
precision observables. In particular, one of the models can give a sizeable
lepton flavour universal effect in the Wilson coefficient C_9 while naturally
suppressing contributions to C_10, as suggested by current b→
sℓ^+ℓ^- data, predicting simultaneously a mild positive shift in the W
boson mass.
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