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}
}
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Works referenced in this record:
Flavor Physics Constraints for Physics Beyond the Standard Model
journal, November 2010
- Isidori, Gino; Nir, Yosef; Perez, Gilad
- Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1
Nf = 1+2 mass dependence of the topological susceptibility
conference, March 2017
- Frison, Julien; Kitano, Ryuichiro; Yamada, Norikazu
- Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
Strong and Noninvariances in a Superweak Theory
journal, July 1978
- Bég, M. A. B.; Tsao, H. -S.
- Physical Review Letters, Vol. 41, Issue 5
Superweak Gauge Theory of -Invariance Violation
journal, June 1979
- Barr, Stephen; Langacker, Paul
- Physical Review Letters, Vol. 42, Issue 25
Small instanton contribution to the axion potential in supersymmetric models
journal, March 1999
- Choi, Kiwoon; Do Kim, Hyung
- Physical Review D, Vol. 59, Issue 7
Analyzing chiral symmetry breaking in supersymmetric gauge theories
journal, April 1998
- Appelquist, Thomas; Nyffeler, Andreas; Selipsky, Stephen B.
- Physics Letters B, Vol. 425, Issue 3-4
Limits on -odd four-fermion operators containing the strange quark field
journal, July 1999
- Hamzaoui, C.; Pospelov, M.
- Physical Review D, Vol. 60, Issue 3
Review of lattice results concerning low-energy particle physics
text, January 2017
- Aoki, S.; Aoki, Y.; Bečirević, D.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Plans for a Neutron EDM Experiment at SNS
journal, May 2007
- Ito, Takeyasu M.; Collaboration, the nEdm
- Journal of Physics: Conference Series, Vol. 69
Natural suppression of strong P and T non-invariance
journal, November 1978
- Mohapatra, R. N.; Senjanović, G.
- Physics Letters B, Vol. 79, Issue 3
Strong QCD at high energies and a heavy axion
journal, May 1985
- Holdom, Bob
- Physics Letters B, Vol. 154, Issue 4
CP violation in the minimal N = 1 supergravity theory
journal, January 1985
- Dugan, M.; Grinstein, B.; Hall, L.
- Nuclear Physics B, Vol. 255
Flaxion: a minimal extension to solve puzzles in the standard model
journal, January 2017
- Ema, Yohei; Hamaguchi, Koichi; Moroi, Takeo
- Journal of High Energy Physics, Vol. 2017, Issue 1
Solving the wrong hierarchy problem
journal, June 2016
- Blinov, Nikita; Hook, Anson
- Journal of High Energy Physics, Vol. 2016, Issue 6
Solving the Strong Problem without the Peccei-Quinn Symmetry
journal, July 1984
- Barr, S. M.
- Physical Review Letters, Vol. 53, Issue 4
Spontaneous CP violation and the strong CP problem
journal, April 2017
- Vecchi, Luca
- Journal of High Energy Physics, Vol. 2017, Issue 4
Review of lattice results concerning low-energy particle physics
text, January 2016
- Aoki, S.; Aoki, Y.; Becirevic, D.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Two-loop renormalization group equations in a general quantum field theory (II). Yukawa couplings
journal, April 1984
- Machacek, Marie E.; Vaughn, Michael T.
- Nuclear Physics B, Vol. 236, Issue 1
Axion protection from flavor
journal, June 2010
- Cheung, Clifford
- Journal of High Energy Physics, Vol. 2010, Issue 6
Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
journal, September 1999
- Pospelov, Maxim; Ritz, Adam
- Physical Review Letters, Vol. 83, Issue 13
Strong CP problem and parity
journal, November 1991
- Barr, S. M.; Chang, Darwin; Senjanović, Goran
- Physical Review Letters, Vol. 67, Issue 20
Current-Mass Ratios of the Light Quarks
journal, May 1986
- Kaplan, David B.; Manohar, Aneesh V.
- Physical Review Letters, Vol. 56, Issue 19
Yukawa hierarchies from spontaneous breaking of the SU(3) L × SU(3) R flavour symmetry?
journal, February 2013
- Espinosa, José R.; Fong, Chee Sheng; Nardi, Enrico
- Journal of High Energy Physics, Vol. 2013, Issue 2
Supersymmetric solution to problems
journal, November 1996
- Mohapatra, Rabindra N.; Rašin, Andrija
- Physical Review D, Vol. 54, Issue 9
Review of lattice results concerning low-energy particle physics
journal, September 2014
- Aoki, S.; Aoki, Y.; Bernard, C.
- The European Physical Journal C, Vol. 74, Issue 9
Mass Renormalization by Instantons and the Strong Problem
journal, August 1988
- Choi, Kiwoon; Kim, C. W.; Sze, W. K.
- Physical Review Letters, Vol. 61, Issue 7
Raising the axion mass
journal, December 1982
- Holdom, Bob; Peskin, Michael E.
- Nuclear Physics B, Vol. 208, Issue 3
A computation of the small instanton contribution to the axion potential
journal, January 1987
- Flynn, Jonathan M.; Randall, Lisa
- Nuclear Physics B, Vol. 293
Sequestering CP violation and GIM-violation with warped extra dimensions
journal, January 2008
- Cheung, Clifford; Fitzpatrick, A. Liam; Randall, Lisa
- Journal of High Energy Physics, Vol. 2008, Issue 01
Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006
- Baker, C. A.; Doyle, D. D.; Geltenbort, P.
- Physical Review Letters, Vol. 97, Issue 13
Grand unification and heavy axion
journal, April 1997
- Rubakov, V. A.
- Journal of Experimental and Theoretical Physics Letters, Vol. 65, Issue 8
A storage ring experiment to detect a proton electric dipole moment
journal, November 2016
- Anastassopoulos, V.; Andrianov, S.; Baartman, R.
- Review of Scientific Instruments, Vol. 87, Issue 11
Challenges for the Nelson-Barr mechanism
journal, August 2015
- Dine, Michael; Draper, Patrick
- Journal of High Energy Physics, Vol. 2015, Issue 8
A minimal model with natural suppresion of strong CP violation
journal, September 1991
- Bento, Luis; Branco, Gustavo C.; Parada, Paulo A.
- Physics Letters B, Vol. 267, Issue 1
Heavy octets and Tevatron signals with three or four b jets
journal, July 2011
- Bai, Yang; Dobrescu, Bogdan A.
- Journal of High Energy Physics, Vol. 2011, Issue 7
Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal Nonconservation
journal, September 1985
- Jarlskog, C.
- Physical Review Letters, Vol. 55, Issue 10
Finding the strong CP problem at the LHC
journal, November 2016
- D'Agnolo, Raffaele Tito; Hook, Anson
- Physics Letters B, Vol. 762
Anomalous Solutions to the Strong Problem
journal, April 2015
- Hook, Anson
- Physical Review Letters, Vol. 114, Issue 14
Dyson-Schwinger equations and their application to hadronic physics
journal, January 1994
- Roberts, Craig D.; Williams, Anthony G.
- Progress in Particle and Nuclear Physics, Vol. 33
The quark electric dipole moment and the induced θ-term in the Kobayashi-Maskawa model
journal, June 1986
- Khriplovich, I. B.
- Physics Letters B, Vol. 173, Issue 2
String theory and the strong CP problem
journal, August 1986
- Dine, Michael; Seiberg, Nathan
- Nuclear Physics B, Vol. 273, Issue 1
Strong CP, Flavor, and Twisted Split Fermions
journal, March 2005
- Harnik, Roni; Perez, Gilad; Schwartz, Matthew D.
- Journal of High Energy Physics, Vol. 2005, Issue 03
Factoring the strong CP problem
journal, December 2018
- Agrawal, Prateek; Howe, Kiel
- Journal of High Energy Physics, Vol. 2018, Issue 12
The nEDM experiment at the SNS
journal, January 2014
- Tsentalovich, E. P.
- Physics of Particles and Nuclei, Vol. 45, Issue 1
Computation of the quantum effects due to a four-dimensional pseudoparticle
journal, December 1976
- 't Hooft, G.
- Physical Review D, Vol. 14, Issue 12
Review of lattice results concerning low-energy particle physics
text, January 2014
- Wenger, Urs; Colangelo, Gilberto
- EDP Sciences
Review of lattice results concerning low-energy particle physics
journal, July 2011
- Colangelo, G.; Dürr, S.; Jüttner, A.
- The European Physical Journal C, Vol. 71, Issue 7
Finding the Strong CP problem at the LHC
text, January 2015
- D'Agnolo, Raffaele Tito; Hook, Anson
- arXiv
Flaxion: a minimal extension to solve puzzles in the standard model
text, January 2016
- Ema, Yohei; Hamaguchi, Koichi; Moroi, Takeo
- arXiv
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- Gherghetta, Tony; Khoze, Valentin V.; Pomarol, Alex
- Journal of High Energy Physics, Vol. 2020, Issue 3
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journal, April 2019
- Gavela, M. B.; Houtz, R.; Quilez, P.
- The European Physical Journal C, Vol. 79, Issue 5
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journal, August 2019
- Reig, Mario
- Journal of High Energy Physics, Vol. 2019, Issue 8
Nonresonant Searches for Axionlike Particles at the LHC
journal, February 2020
- Gavela, M. B.; No, J. M.; Sanz, V.
- Physical Review Letters, Vol. 124, Issue 5
On the high-scale instanton interference effect: axion models without domain wall problem
text, January 2019
- Reig, Mario
- arXiv
Strong CP problem with low-energy emergent QCD: The 4321 case
text, January 2019
- Fuentes-Martín, Javier; Reig, Mario; Vicente, Avelino
- University of Zurich