TY  - EJOUR
AU  - Bedi, Ravneet
AU  - Gherghetta, Tony
AU  - Grojean, Christophe
AU  - Sousa Fialho Guedes, Guilherme Luis de
AU  - Kley, Jonathan
AU  - Vuong, Pham Ngoc Hoa
TI  - Small instanton-induced flavor invariants and the axion potential
IS  - DESY-24-019
M1  - PUBDB-2024-00662
M1  - DESY-24-019
M1  - arXiv:2402.09361
M1  - CERN-TH-2024-022
M1  - HU-EP-24/05
M1  - UMN-TH-4313/24
PY  - 2024
N1  - 49 pages, 4 figures
AB  - Small instantons which increase the axion mass due to an appropriate modification of QCD at a UV scale Λ<sub>SI</sub>, can also enhance the effect of CP-violating operators to shift the axion potential minimum by an amount, θ<sub>ind</sub>, 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 \requirecancelΛ<sub>\cancelCP</sub>. This new basis provides a more reliable estimate of the shift θ<sub>ind</sub>, 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 \requirecancelΛ<sub>SI</sub>/Λ<sub>\cancelCP</sub> 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.
KW  - axion, potential (INSPIRE)
KW  - instanton, effect (INSPIRE)
KW  - n, electric moment (INSPIRE)
KW  - axion, mass (INSPIRE)
KW  - CP, violation (INSPIRE)
KW  - operator, dipole (INSPIRE)
KW  - flavor (INSPIRE)
KW  - gluon (INSPIRE)
KW  - quantum chromodynamics (INSPIRE)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2024-00662
UR  - https://bib-pubdb1.desy.de/record/602586
ER  -