Abstract
We demonstrate that radiative breaking of conformal symmetry (and simultaneously electroweak symmetry) in the standard model with right-chiral neutrinos and a minimally enlarged scalar sector induces spontaneous breaking of lepton number symmetry, which naturally gives rise to an axion-like particle with some unusual features. The couplings of this ‘axion’ to standard model particles, in particular photons and gluons, are entirely determined (and computable) via the conformal anomaly, and their smallness turns out to be directly related to the smallness of the masses of the light neutrinos.
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References
W.A. Bardeen, FERMILAB-CONF-95-391-T
S. Coleman, E. Weinberg, Phys. Rev. D 7, 1888 (1973)
K.A. Meissner, H. Nicolai, Phys. Lett. B 648, 312 (2007). arXiv:hep-th/0612165
M. Shaposhnikov, I. Tkachev, Phys. Lett. B 639, 414 (2006). arXiv:hep-ph/0604236
M. Shaposhnikov, arXiv:0708.3550 (2007). [hep-th]
R. Foot, A. Kobakhidze, R. Volkas, Phys. Lett. B 655, 156 (2007), arXiv:0704.1165 [hep-ph]
R. Foot, A. Kobakhidze, K.L. McDonald, R. Volkas, Phys. Rev. D 77, 035006 (2008). arXiv:0709.2750
K.A. Meissner, H. Nicolai, Phys. Lett. B 660, 260 (2008). arXiv:0710.2840 [hep-th]
Y. Chikashige, R.N. Mohapatra, R.D. Peccei, Phys. Rev. Lett. 45, 1926 (1980)
R.D. Peccei, H.R. Quinn, Phys. Rev. Lett. 38, 1440 (1977)
S. Weinberg, Phys. Rev. Lett. 40, 223 (1978)
F. Wilczek, Phys. Rev. Lett. 40, 279 (1978)
O. Nachtmann, Elementary Particle Physics: Concepts and Phenomena (Springer, Berlin, 1999)
S. Pokorski, Gauge Field Theories, 2nd edn. (Cambridge University Press, Cambridge, 2000)
J.T. Peltoniemi, arXiv:hep-ph/9511416 (1995)
K. Meissner, H. Nicolai, Renormalization group and effective potential in classically conformal theories (2008). arXiv:0809.1338 [hep-th]
S. Weinberg, The Quantum Theory of Fields III: Supersymmetry (Cambridge University Press, Cambridge, 2000)
J. Bagger, J. Wess, Supersymmetry and Supergravity (Princeton University Press, Princeton, 1984)
P. Minkowski, Phys. Lett. B 67, 421 (1977)
M. Gell-Mann, P. Ramond, R. Slansky, in Supergravity, ed. by P. van Nieuwenhuizen, D.Z. Freedman (North-Holland, Amsterdam, 1979), p. 315
T. Yanagida, Prog. Theor. Phys. 64, 1103 (1980)
P. Pugnat et al., arXiv:0712.3362 (2007). [hep-ex]
V. Mukhanov, Physical Foundations of Cosmology (Cambridge University Press, Cambridge, 2005)
P. Sikivie, Lect. Not. Phys. 741, 19 (2008). arXiv:astro-ph/0610440
M. Lindner, W. Rodejohann, JHEP 0705, 089 (2007). arXiv:hep-ph/0703171
R. Chanda, J.F. Nieves, P.B. Pal, Phys. Rev. D 37, 2714 (1988)
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Meissner, K.A., Nicolai, H. Neutrinos, axions and conformal symmetry. Eur. Phys. J. C 57, 493–498 (2008). https://doi.org/10.1140/epjc/s10052-008-0760-x
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DOI: https://doi.org/10.1140/epjc/s10052-008-0760-x