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Accidental Peccei–Quinn symmetry from discrete flavour symmetry and Pati–Salam

Accidental Peccei–Quinn symmetry from discrete flavour symmetry and Pati–Salam
Accidental Peccei–Quinn symmetry from discrete flavour symmetry and Pati–Salam

We show how an accidental U(1) Peccei–Quinn (PQ) symmetry can arise from a discrete A4 family symmetry combined with a discrete flavour symmetry Z3×Z5 2, in a realistic Pati–Salam unified theory of flavour. Imposing only these discrete flavour symmetries, the axion solution to the strong CP problem is protected from PQ-breaking operators to the required degree. A QCD axion arises from a linear combination of A4 triplet flavons, which are also responsible for fermion flavour structures due to their vacuum alignments. We find that the requirement of an accidental PQ symmetry arising from a discrete flavour symmetry constrains the form of the Yukawa matrices, providing a link between flavour and the strong CP problem. Our model predicts specific flavour-violating couplings of the flavourful axion and thus puts a strong limit on the axion scale from kaon decays.

0370-2693
428-434
Björkeroth, Fredrik
7ad4ebf0-2444-4e86-a7bb-baf017e8eff6
Chun, Eung Jin
f2a42410-3708-49df-9234-3f80a8ee5be2
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Björkeroth, Fredrik
7ad4ebf0-2444-4e86-a7bb-baf017e8eff6
Chun, Eung Jin
f2a42410-3708-49df-9234-3f80a8ee5be2
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Björkeroth, Fredrik, Chun, Eung Jin and King, Stephen F. (2018) Accidental Peccei–Quinn symmetry from discrete flavour symmetry and Pati–Salam. Physics Letters B, 777, 428-434. (doi:10.1016/j.physletb.2017.12.058).

Record type: Article

Abstract

We show how an accidental U(1) Peccei–Quinn (PQ) symmetry can arise from a discrete A4 family symmetry combined with a discrete flavour symmetry Z3×Z5 2, in a realistic Pati–Salam unified theory of flavour. Imposing only these discrete flavour symmetries, the axion solution to the strong CP problem is protected from PQ-breaking operators to the required degree. A QCD axion arises from a linear combination of A4 triplet flavons, which are also responsible for fermion flavour structures due to their vacuum alignments. We find that the requirement of an accidental PQ symmetry arising from a discrete flavour symmetry constrains the form of the Yukawa matrices, providing a link between flavour and the strong CP problem. Our model predicts specific flavour-violating couplings of the flavourful axion and thus puts a strong limit on the axion scale from kaon decays.

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Accepted/In Press date: 22 December 2017
e-pub ahead of print date: 28 December 2017
Published date: 10 February 2018

Identifiers

Local EPrints ID: 419510
URI: https://eprints.soton.ac.uk/id/eprint/419510
ISSN: 0370-2693
PURE UUID: 2ced852b-d315-4673-9573-839c082e2328

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Date deposited: 13 Apr 2018 16:30
Last modified: 13 Mar 2019 18:40

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