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Naturally large Yukawa hierarchies · Around

2011

Naturally large Yukawa hierarchies

Nardi, Enrico

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The spontaneous breaking of the $SU(3)^5$ quark/lepton flavor symmetry by means of three multiplets of scalar `Yukawa fields' admits vacua with one O(1) and two vanishing vacuum expectation values (vevs) for each multiplet.

If the number of generations is equal to three, and only in this case, the vanishing vevs are lifted to exponentially suppressed entries by the inclusion of symmetry invariant logarithmic terms.
A strong hierarchy for the Yukawa couplings and a quark mixing matrix that approaches a diagonal form are obtained in a natural way from O(1) parameters.
This scenario provides a concrete realization of the minimal flavor violation hypothesis.

Built on

C. D. Froggatt, H. B. Nielsen, Hierarchy of Quark Masses, Cabibbo Angles and CP Violation
1979
Earlier work this paper cites.
R. S. Chivukula, H. Georgi, Composite Technicolor Standard Model
1987
Earlier work this paper cites.
R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey and D. E. Knuth, On the Lambert W Function
1996
Earlier work this paper cites.

Similar

G. D’Ambrosio, G. F. Giudice, G. Isidori and A. Strumia, Minimal flavour violation: An effective field theory approach
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A. S. Joshipura, K. M. Patel and S. K. Vempati, Type I seesaw mechanism for quasi degenerate neutrinos
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R. Alonso, G. Isidori, L. Merlo, L. A. Munoz, E. Nardi, Minimal flavour violation extensions of the seesaw
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R. Alonso, M. B. Gavela, L. Merlo, S. Rigolin, On The Potential of Minimal Flavour Violation
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Y. Nambu, Spontaneous symmetry breaking and the origin of mass
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Then

M. E. Albrecht, T. .Feldmann, T. Mannel, Goldstone Bosons in Effective Theories with Spontaneously Broken Flavour Symmetry
Original
2010
Later among the works it cites.
B. Grinstein, M. Redi and G. Villadoro, Low Scale Flavor Gauge Symmetries
Original
2049
Closest in time.

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