Journal Article

PUBDB-2024-07602

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Small instanton-induced flavor invariants and the axion potential

Bedi, R. ; Gherghetta, T. ; Grojean, C.DESY* ; Guedes, G. (Corresponding author)DESY* ; Kley, J.Extern*DESY* ; Vuong, P. N. H.DESY*

2024
SISSA [Trieste]

This record in other databases:    

Please use a persistent id in citations: doi:10.1007/JHEP06(2024)156  doi:10.3204/PUBDB-2024-07602

Report No.: CERN-TH-2024-022; DESY-24-019; HU-EP-24/05; UMN-TH-4313/24; arXiv:2402.09361

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.

Note: 49 pages, 4 figures

---

Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. ASYMMETRY - Essential Asymmetries of Nature (101086085) (101086085)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

---

Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Bedi, R. ; Gherghetta, T. ; Grojean, C.DESY* ; Sousa Fialho Guedes, G. L. d.DESY* ; Kley, J. (Corresponding author)DESY* ; Vuong, P. N. H.DESY*
Small instanton-induced flavor invariants and the axion potential
[10.3204/PUBDB-2024-00662]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---