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000602586 088__ $$2arXiv$$aarXiv:2402.09361
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000602586 245__ $$aSmall instanton-induced flavor invariants and the axion potential
000602586 260__ $$c2024
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000602586 500__ $$a49 pages, 4 figures
000602586 520__ $$aSmall 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.
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000602586 650_7 $$2INSPIRE$$aaxion, potential
000602586 650_7 $$2INSPIRE$$ainstanton, effect
000602586 650_7 $$2INSPIRE$$an, electric moment
000602586 650_7 $$2INSPIRE$$aaxion, mass
000602586 650_7 $$2INSPIRE$$aCP, violation
000602586 650_7 $$2INSPIRE$$aoperator, dipole
000602586 650_7 $$2INSPIRE$$aflavor
000602586 650_7 $$2INSPIRE$$agluon
000602586 650_7 $$2INSPIRE$$aquantum chromodynamics
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000602586 7001_ $$aGherghetta, Tony$$b1
000602586 7001_ $$0P:(DE-H253)PIP1023796$$aGrojean, Christophe$$b2
000602586 7001_ $$0P:(DE-H253)PIP1103603$$aSousa Fialho Guedes, Guilherme Luis de$$b3
000602586 7001_ $$0P:(DE-H253)PIP1098464$$aKley, Jonathan$$b4$$eCorresponding author
000602586 7001_ $$0P:(DE-H253)PIP1103658$$aVuong, Pham Ngoc Hoa$$b5
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