Topological susceptibility and QCD axion mass: QED and NNLO corrections

A bstract We improve the precision of the topological susceptibility of QCD, and therefore of the QCD axion mass, by including O ( α em ) and NNLO corrections in the chiral expansion, which amount to 0.65(21)% and -0.71(29)% respectively. Both corrections are one order of magnitude smaller than the...

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Bibliographic Details
Published in:The journal of high energy physics 2019-03, Vol.2019 (3), p.1-22, Article 33
Main Authors: Gorghetto, Marco, Villadoro, Giovanni
Format: Article
Language:English
Subjects:
Chiral Lagrangians
Classical and Quantum Gravitation
Effective Field Theories
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We improve the precision of the topological susceptibility of QCD, and therefore of the QCD axion mass, by including O ( α em ) and NNLO corrections in the chiral expansion, which amount to 0.65(21)% and -0.71(29)% respectively. Both corrections are one order of magnitude smaller than the known NLO ones, confirming the very good convergence of the chiral expansion and its reliability. Using the latest estimates for the light quark masses the current uncertainty is dominated by the one of the low-energy constant ℓ 7 . When combined with possible improvements on the light quark mass ratio and ℓ 7 from lattice QCD, our computation could allow to determine the QCD axion mass with per-mille accuracy.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2019)033