2010
DOI: 10.1007/jhep06(2010)074
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Axion protection from flavor

Abstract: The QCD axion fails to solve the strong CP problem unless all explicit PQ violating, Planck-suppressed, dimension n < 10 operators are forbidden or have exponentially small coefficients. We show that all theories with a QCD axion contain an irreducible source of explicit PQ violation which is proportional to the determinant of the Yukawa interaction matrix of colored fermions. Generically, this contribution is of low operator dimension and will drastically destabilize the axion potential, so its suppression is… Show more

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Cited by 21 publications
(17 citation statements)
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“…In particular, all contributions to the axion potential from other PQ breaking sources must be at least ten orders of magnitude suppressed compared to that from QCD instantons. Phenomenological approaches in field theory trying to realize such a PQ symmetry have been pursued [15][16][17]; see [18] for a recent approach. However, since global symmetries are believed to be always broken by quantum gravitational effects, it is worthwhile exploring axions in string theory and under what circumstances they could solve the strong-CP problem.…”
Section: Jhep11(2010)105mentioning
confidence: 99%
“…In particular, all contributions to the axion potential from other PQ breaking sources must be at least ten orders of magnitude suppressed compared to that from QCD instantons. Phenomenological approaches in field theory trying to realize such a PQ symmetry have been pursued [15][16][17]; see [18] for a recent approach. However, since global symmetries are believed to be always broken by quantum gravitational effects, it is worthwhile exploring axions in string theory and under what circumstances they could solve the strong-CP problem.…”
Section: Jhep11(2010)105mentioning
confidence: 99%
“…Although here we have some more freedom in choosing the values of the charges X e , in order to enforce the breaking U (1) 4 It is easy to verify that the bilinear terms alone yield the same two possibilities listed in Eq. (27). Let us then consider quadrilinear couplings.…”
Section: Dfsz-type Of Axion Modelsmentioning
confidence: 99%
“…Anomalies in the discrete symmetries used to protect the axion potential are considered in generality in non supersymmetric models in Ref. [30]. are only satisfied for combinations of a and b such that a + b ≥ 8.…”
Section: B Anomalies and Discrete Symmetriesmentioning
confidence: 99%