Accidental Peccei-Quinn Symmetry Protected to Arbitrary Order

Accidental Peccei-Quinn Symmetry Protected to Arbitrary Order A SU(N)L×SU(N)R gauge theory for a scalar multiplet Y transforming in the bifundamental representation (N,N¯) preserves, for N>4, an accidental U(1) symmetry first broken at operator dimension N. A vacuum expectation value for Y can break the symmetry to Hs=SU(N)L+R or to Hh=SU(N-1)L×SU(N-1)R×U(1)L+R. In the first case the accidental U(1) gets also broken, yielding a pseudo-Nambu-Goldstone boson with mass suppression controlled by N. In the second case a global U(1) remains unbroken. The strong CP problem is solved by coupling Y to new fermions carrying color. The first case allows for a Peccei-Quinn solution with U(1)PQ protected by the gauge symmetry up to order N. In the second case U(1) can get broken by condensates of the new strong dynamics, resulting in a composite axion. By coupling Y to fermions carrying only weak isospin, models for axionlike particles can be constructed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Accidental Peccei-Quinn Symmetry Protected to Arbitrary Order

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Accidental Peccei-Quinn Symmetry Protected to Arbitrary Order

Abstract

A SU(N)L×SU(N)R gauge theory for a scalar multiplet Y transforming in the bifundamental representation (N,N¯) preserves, for N>4, an accidental U(1) symmetry first broken at operator dimension N. A vacuum expectation value for Y can break the symmetry to Hs=SU(N)L+R or to Hh=SU(N-1)L×SU(N-1)R×U(1)L+R. In the first case the accidental U(1) gets also broken, yielding a pseudo-Nambu-Goldstone boson with mass suppression controlled by N. In the second case a global U(1) remains unbroken. The strong CP problem is solved by coupling Y to new fermions carrying color. The first case allows for a Peccei-Quinn solution with U(1)PQ protected by the gauge symmetry up to order N. In the second case U(1) can get broken by condensates of the new strong dynamics, resulting in a composite axion. By coupling Y to fermions carrying only weak isospin, models for axionlike particles can be constructed.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
0031-9007
eISSN
1079-7114
D.O.I.
10.1103/PhysRevLett.119.011801
Publisher site
See Article on Publisher Site

Abstract

A SU(N)L×SU(N)R gauge theory for a scalar multiplet Y transforming in the bifundamental representation (N,N¯) preserves, for N>4, an accidental U(1) symmetry first broken at operator dimension N. A vacuum expectation value for Y can break the symmetry to Hs=SU(N)L+R or to Hh=SU(N-1)L×SU(N-1)R×U(1)L+R. In the first case the accidental U(1) gets also broken, yielding a pseudo-Nambu-Goldstone boson with mass suppression controlled by N. In the second case a global U(1) remains unbroken. The strong CP problem is solved by coupling Y to new fermions carrying color. The first case allows for a Peccei-Quinn solution with U(1)PQ protected by the gauge symmetry up to order N. In the second case U(1) can get broken by condensates of the new strong dynamics, resulting in a composite axion. By coupling Y to fermions carrying only weak isospin, models for axionlike particles can be constructed.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Jul 7, 2017

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