A flavorful factoring of the strong CP problem
Abstract
Motivated by the intimate connection between the strong CP problem and the flavor structure of the Standard Model, we present a flavor model that revives and extends the classic $${m_u=0}$$ solution to the strong CP problem. QCD is embedded into a $$SU(3)_1\times SU(3)_2 \times SU(3)_3$$ gauge group, with each generation of quarks charged under the respective $SU(3)$. The non-zero value of the up-quark Yukawa coupling (along with the strange quark and bottom-quark Yukawas) is generated by contributions from small instantons at a new scale $$M \gg \Lambda_{QCD}$$. The Higgsing of $$SU(3)^3\to SU(3)_c$$ allows dimension-5 operators that generate the Standard Model flavor structure and can be completed in a simple renormalizable theory. The smallness of the third generation mixing angles can naturally emerge in this picture, and is connected to the smallness of threshold corrections to $$\bar\theta$$. Remarkably, $$\bar\theta$$ is essentially fixed by the measured quark masses and mixings, and is estimated to be close to the current experimental bound and well within reach of the next generation of neutron and proton EDM experiments.
- Authors:
-
- Harvard Univ., Cambridge, MA (United States)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1431576
- Report Number(s):
- FERMILAB-PUB-17-562-PPD; arXiv:1712.05803
Journal ID: ISSN 1029-8479; 1643847
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Beyond Standard Model; CP violation; Solitons Monopoles and Instantons
Citation Formats
Agrawal, Prateek, and Howe, Kiel. A flavorful factoring of the strong CP problem. United States: N. p., 2018.
Web. doi:10.1007/JHEP12(2018)035.
Agrawal, Prateek, & Howe, Kiel. A flavorful factoring of the strong CP problem. United States. https://doi.org/10.1007/JHEP12(2018)035
Agrawal, Prateek, and Howe, Kiel. Thu .
"A flavorful factoring of the strong CP problem". United States. https://doi.org/10.1007/JHEP12(2018)035. https://www.osti.gov/servlets/purl/1431576.
@article{osti_1431576,
title = {A flavorful factoring of the strong CP problem},
author = {Agrawal, Prateek and Howe, Kiel},
abstractNote = {Motivated by the intimate connection between the strong CP problem and the flavor structure of the Standard Model, we present a flavor model that revives and extends the classic ${m_u=0}$ solution to the strong CP problem. QCD is embedded into a $SU(3)_1\times SU(3)_2 \times SU(3)_3$ gauge group, with each generation of quarks charged under the respective $SU(3)$. The non-zero value of the up-quark Yukawa coupling (along with the strange quark and bottom-quark Yukawas) is generated by contributions from small instantons at a new scale $M \gg \Lambda_{QCD}$. The Higgsing of $SU(3)^3\to SU(3)_c$ allows dimension-5 operators that generate the Standard Model flavor structure and can be completed in a simple renormalizable theory. The smallness of the third generation mixing angles can naturally emerge in this picture, and is connected to the smallness of threshold corrections to $\bar\theta$. Remarkably, $\bar\theta$ is essentially fixed by the measured quark masses and mixings, and is estimated to be close to the current experimental bound and well within reach of the next generation of neutron and proton EDM experiments.},
doi = {10.1007/JHEP12(2018)035},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2018,
place = {United States},
year = {Thu Dec 06 00:00:00 EST 2018},
month = {Thu Dec 06 00:00:00 EST 2018}
}
Web of Science
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