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Muon anomalies and the SU (5) Yukawa relations

Muon anomalies and the SU (5) Yukawa relations
Muon anomalies and the SU (5) Yukawa relations

We show that, within the framework of SU(5) grand unified theories (GUTs), multiple vectorlike families at the GUT scale which transform under a gauged U(1)′ (under which the three chiral families are neutral) can result in a single vectorlike family at low energies which can induce nonuniversal and flavorful Z′ couplings, which can account for the B physics anomalies in RK(∗). In such theories, we show that the same muon couplings which explain RK(∗) also correct the Yukawa relation Ye=YdT in the muon sector without the need for higher Higgs representations. To illustrate the mechanism, we construct a concrete model based on SU(5)×A4×Z3×Z7 with two vectorlike families at the GUT scale, and two right-handed neutrinos, leading to a successful fit to quark and lepton (including neutrino) masses, mixing angles, and CP phases, where the constraints from lepton-flavor violation require Ye to be diagonal.

2470-0010
1-20
Hernández, A.E. Cárcamo
b67b5363-d41d-4570-be81-41ec13f8765f
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Hernández, A.E. Cárcamo
b67b5363-d41d-4570-be81-41ec13f8765f
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Hernández, A.E. Cárcamo and King, Stephen F. (2019) Muon anomalies and the SU (5) Yukawa relations. Physical Review D, 99 (9), 1-20, [095003]. (doi:10.1103/PhysRevD.99.095003).

Record type: Article

Abstract

We show that, within the framework of SU(5) grand unified theories (GUTs), multiple vectorlike families at the GUT scale which transform under a gauged U(1)′ (under which the three chiral families are neutral) can result in a single vectorlike family at low energies which can induce nonuniversal and flavorful Z′ couplings, which can account for the B physics anomalies in RK(∗). In such theories, we show that the same muon couplings which explain RK(∗) also correct the Yukawa relation Ye=YdT in the muon sector without the need for higher Higgs representations. To illustrate the mechanism, we construct a concrete model based on SU(5)×A4×Z3×Z7 with two vectorlike families at the GUT scale, and two right-handed neutrinos, leading to a successful fit to quark and lepton (including neutrino) masses, mixing angles, and CP phases, where the constraints from lepton-flavor violation require Ye to be diagonal.

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PhysRevD.99.095003 - Version of Record
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e-pub ahead of print date: 3 May 2019

Identifiers

Local EPrints ID: 432031
URI: http://eprints.soton.ac.uk/id/eprint/432031
ISSN: 2470-0010
PURE UUID: af00bcc5-6a69-4c75-a52e-419bc0a6c972

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Date deposited: 27 Jun 2019 16:30
Last modified: 17 Mar 2024 12:29

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Contributors

Author: A.E. Cárcamo Hernández
Author: Stephen F. King

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