Indirect signs of the Peccei-Quinn mechanism

In the standard model, the renormalization of the QCD vacuum angle θ is extremely tiny, and small θ is technically natural. In the general standard model effective field theory (SMEFT), however, Δθ is quadratically divergent, reflecting the fact that new sources of hadronic CP-violation typically pr...

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Bibliographic Details
Published in:Physical review. D 2019-01, Vol.99 (1), p.015042, Article 015042
Main Authors: de Vries, Jordy, Draper, Patrick, Fuyuto, Kaori, Kozaczuk, Jonathan, Sutherland, Dave
Format: Article
Language:English
Subjects:
axions
Boundary conditions
CP violation
Dipole moments
Electric dipoles
Field theory
hypothetical particle physics models
Large Hadron Collider
Operators
particle phenomena
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
quantum chromodynamics
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Summary:In the standard model, the renormalization of the QCD vacuum angle θ is extremely tiny, and small θ is technically natural. In the general standard model effective field theory (SMEFT), however, Δθ is quadratically divergent, reflecting the fact that new sources of hadronic CP-violation typically produce Oð1Þ threshold corrections to θ. The observation of such CP-violating interactions would therefore be in tension with solutions to the strong CP problem in which θ ¼ 0 is an ultraviolet boundary condition, pointing to the Peccei-Quinn mechanism as the explanation for why θ is small in the infrared. We study the quadratic divergences in θ arising from dimension-6 SMEFT operators and discuss the discovery prospects for these operators at electric dipole moment experiments, the LHC, and future proton-proton colliders.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.99.015042