Flavourful axion and the Peccei-Quinn symmetry


  • Stefan Daniel Nellen Mondragón Instituto de Físisca, UNAM




Peccei-Quinn, Froggatt-Nielsen, axion, axiflavon, flavourful axion


A model is presented, where the Froggatt-Nielsen and Peccei-Quinn symmetries are identified. This provides a solution to the strong CP problem and an explanation to the fermion mass hierarchy. At leading order, the quark mass matrix possess a Nearest-Neighbour-Interaction structure, while the neutrino mass matrix has a Majorana A2 texture. From a thorough numerical analysis the viability of this model is asserted, by comparing against current measurements. The data obtained from this analysis is then used to study properties from the axion.


R. Peccei and H. R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440.

R. D. Peccei and H. R. Quinn, Constraints Imposed by CP Conservation in the Presence of Instantons, Phys. Rev. D 16 (1977) 1791.

G. ’t Hooft, Symmetry Breaking Through Bell-Jackiw Anomalies, Phys. Rev. Lett. 37 (1976) 8.

nEDM Collaboration, C. Abel et al., Measurement of the permanent electric dipole moment of the neutron, Phys. Rev. Lett. 124 (2020) 081803, arXiv:2001.11966 [hep-ex].

S. Weinberg, A New Light Boson?, Phys. Rev. Lett. 40 (1978) 223.

F. Wilczek, Problem of Strong P and T Invariance in the Presence of Instantons, Phys. Rev. Lett. 40 (1978) 279.

M. Srednicki, Axion Couplings to Matter. 1. CP Conserving Parts, Nucl.Phys. B 260 (1985) 689.

J. E. Kim, Weak Interaction Singlet and Strong CP Invariance, Phys. Rev. Lett. 43 (1979) 103.

M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Can Confinement Ensure Natural CP Invariance of Strong Interactions?, Nucl. Phys. B 166 (1980) 493.

A. Zhitnitsky, On Possible Suppression of the Axion Hadron Interactions. (In Russian), Sov. J. Nucl. Phys. 31 (1980) 260.

M. Dine, W. Fischler, and M. Srednicki, A Simple Solution to the Strong CP Problem with a Harmless Axion, Phys.Lett. B 104 (1981) 199.

L. Di Luzio, M. Giannotti, E. Nardi, and L. Visinelli, The landscape of QCD axion models, Phys. Rept. 870 (2020) 1, arXiv:2003.01100 [hep-ph].

L. M. G. de la Vega, N. Nath, S. Nellen, and E. Peinado, Flavored axion in the UV-complete Froggatt-Nielsen models, Eur. Phys. J. C 81 (2021) 608, arXiv:2102.03631 [hep-ph].

Y. Ema, K. Hamaguchi, T. Moroi, and K. Nakayama, Flaxion: a minimal extension to solve puzzles in the standard model, JHEP 01 (2017) 096, arXiv:1612.05492 [hep-ph].

C. D. Carone and M. Merchand, T models with high quality flaxions, Phys. Rev. D 101 (2020) 115032, arXiv:2004.02040 [hep-ph].

L. Calibbi, F. Goertz, D. Redigolo, R. Ziegler, and J. Zupan, Minimal axion model from flavor, Phys. Rev. D 95 (2017) 095009, arXiv:1612.08040 [hep-ph].

F. Arias-Aragon and L. Merlo, The Minimal Flavour Violating Axion, JHEP 10 (2017) 168, arXiv:1709.07039 [hep-ph]. [Erratum: JHEP 11 (2019) 152].

M. Linster and R. Ziegler, A Realistic U(2) Model of Flavor, JHEP 08 (2018) 058, arXiv:1805.07341 [hep-ph].

F. Björkeroth, E. J. Chun, and S. F. King, Accidental Peccei-Quinn symmetry from discrete flavour symmetry and PatiSalam, Phys. Lett. B 777 (2018) 428, arXiv:1711.05741 [hepph].

F. Björkeroth, E. J. Chun, and S. F. King, Flavourful Axion Phenomenology, JHEP 08 (2018) 117, arXiv:1806.00660 [hep-ph].

Q. Bonnefoy, E. Dudas, and S. Pokorski, Chiral FroggattNielsen models, gauge anomalies and flavourful axions, JHEP 01 (2020) 191, arXiv:1909.05336 [hep-ph].

C. Froggatt and H. B. Nielsen, Hierarchy of Quark Masses, Cabibbo Angles and CP Violation, Nucl. Phys. B 147 (1979) 277.

K. Babu, TASI Lectures on Flavor Physics, in Theoretical Advanced Study Institute in Elementary Particle Physics: The Dawn of the LHC Era, pp. 49. 2010. arXiv:0910.2948 [hep-ph].

G. Branco, L. Lavoura, and F. Mota, Nearest Neighbor Interactions and the Physical Content of Fritzsch Mass Matrices, Phys. Rev. D 39 (1989) 3443.

H. Fritzsch, Weak Interaction Mixing in the Six - Quark Theory, Phys. Lett. B 73 (1978) 317.

H. Fritzsch, Quark Masses and Flavor Mixing, Nucl. Phys. B 155 (1979) 189.

H. Ishimori, T. Kobayashi, H. Ohki, Y. Shimizu, H. Okada, and M. Tanimoto, Non-Abelian Discrete Symmetries in Particle Physics, Prog. Theor. Phys. Suppl. 183 (2010) 1. arXiv:1003.3552 [hep-th].

H. Fritzsch, Z.-z. Xing, and Y.-L. Zhou, Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices, Phys. Lett. B 697 (2011) 357. arXiv:1101.4272 [hepph].

T. Yanagida, Horizontal Symmetry and Masses of Neutrinos, Prog. Theor. Phys. 64 (1980) 1103.

J. Schechter and J. W. F. Valle, Neutrino Masses in SU(2) x U(1) Theories, Phys. Rev. D 22 (1980) 2227.

P. H. Frampton, S. L. Glashow, and D. Marfatia, Zeroes of the neutrino mass matrix, Phys. Lett. B 536 (2002) 79. arXiv:hepph/0201008.

D. Espriu, F. Mescia, and A. Renau, Axion-Higgs interplay in the two Higgs-doublet model, Phys. Rev. D 92 (2015) 095013, arXiv:1503.02953 [hep-ph].

G. Grilli di Cortona, E. Hardy, J. Pardo Vega, and G. Villadoro, The QCD axion, precisely, JHEP 01 (2016) 034, arXiv:1511.02867 [hep-ph].

H. Georgi and S. L. Glashow, Unity of All Elementary Particle Forces, Phys. Rev. Lett. 32 (1974) 438.

C. O’HARE, cajohare/axionlimits: Axionlimits, July, 2020. https://doi.org/10.5281/zenodo.3932430.

S. Antusch and V. Maurer, Running quark and lepton parameters at various scales, JHEP 11 (2013) 115, arXiv:1306.6879 [hep-ph].

Particle Data Group Collaboration, P. Zyla et al., Review of Particle Physics, PTEP 2020 (2020) 083C01.

P. de Salas, D. Forero, C. Ternes, M. Tortola, and J. Valle, Status of neutrino oscillations 2018: 3σ hint for normal mass ordering and improved CP sensitivity, Phys.Lett. B 782 (2018) 633. arXiv:1708.01186 [hep-ph].

L. Di Luzio, Flavour Violating Axions, EPJ Web Conf. 234 (2020) 01005, arXiv:1911.02591 [hep-ph].

E949, E787 Collaboration, S. Adler et al., Measurement of the K+ -¿ pi+ nu nu branching ratio, Phys. Rev. D 77 (2008) 052003, arXiv:0709.1000 [hep-ex].




How to Cite

Nellen Mondragón SD. Flavourful axion and the Peccei-Quinn symmetry . Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 27 [cited 2024 Jun. 18];3(2):020726 1-9. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6316