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@ARTICLE{Bedi:602586,
author = {Bedi, Ravneet and Gherghetta, Tony and Grojean, Christophe
and Sousa Fialho Guedes, Guilherme Luis de and Kley,
Jonathan and Vuong, Pham Ngoc Hoa},
title = {{S}mall instanton-induced flavor invariants and the axion
potential},
reportid = {PUBDB-2024-00662, DESY-24-019. arXiv:2402.09361.
CERN-TH-2024-022. HU-EP-24/05. UMN-TH-4313/24},
year = {2024},
note = {49 pages, 4 figures},
abstract = {Small instantons which increase the axion mass due to an
appropriate modification of QCD at a UV scale $\Lambda_{\rm
SI}$, can also enhance the effect of CP-violating operators
to shift the axion potential minimum by an amount,
$\theta_{\rm ind}$, proportional to the flavorful couplings
in the SMEFT. Since physical observables must be flavor
basis independent, we construct a basis of determinant-like
flavor invariants that arise from instanton calculations
containing the effects of dimension-six CP-odd operators at
the scale $\require{cancel}\Lambda_{\cancel{\rm CP}}$. This
new basis provides a more reliable estimate of the shift
$\theta_{\rm ind}$, that is severely constrained by neutron
electric dipole moment experiments. In particular, for the
case of four-quark, semi-leptonic and gluon dipole
operators, these invariants are then used to provide
improved limits on the ratio of scales
$\require{cancel}\Lambda_{\rm SI}/\Lambda_{\cancel{\rm CP}}$
for different flavor scenarios. The CP-odd flavor invariants
also provide a classification of the leading effects from
Wilson coefficients, and as an example, we show that a
semi-leptonic four-fermion operator is subdominant compared
to the four-quark operators. More generally, the flavor
invariants, together with an instanton NDA, can be used to
more accurately estimate small instanton effects in the
axion potential that arise from any SMEFT operator.},
keywords = {axion, potential (INSPIRE) / instanton, effect (INSPIRE) /
n, electric moment (INSPIRE) / axion, mass (INSPIRE) / CP,
violation (INSPIRE) / operator, dipole (INSPIRE) / flavor
(INSPIRE) / gluon (INSPIRE) / quantum chromodynamics
(INSPIRE)},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611) / DFG
project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe
(390833306) / ASYMMETRY - Essential Asymmetries of Nature
(101086085)},
pid = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306 /
G:(EU-Grant)101086085},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2402.09361},
howpublished = {arXiv:2402.09361},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2402.09361;\%\%$},
doi = {10.3204/PUBDB-2024-00662},
url = {https://bib-pubdb1.desy.de/record/602586},
}