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Constraints from LFV prosecces in the Higgs Triplet Model
Hiroaki SUGIYAMA (Ritsumeikan Univ., Shiga) based on ‘T. Fukuyama, H.S., K. Tsumura, arXiv: ’ to appear in JHEP Sorry: We have not updated our results with Belle update on decay (arXiv: )
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Higgs Triplet Model Complex Higgs triplet Higgs potential
A simple extension of the SM to give neutrino masses by adding a complex Higgs triplet of No (no see-saw) Complex Higgs triplet : doubly charged Higgs Higgs potential no NG-boson (Majoron) for breaking : spontaneous breaking of : explicit breaking of
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“Yukawa” interaction with a complex Higgs triplet
Majorana mass matrix Small breaking parameter light ( ) new particles. (cf. GUT scale in see-saw) not too small ( ) couplings. (cf. Dirac Yukawa ) sizable new (flavor-rich) effects with relations to neutrino physics constrained well by current knowledge on
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Current Knowledge on Neutrino Mass Matrix
: real, positive : Majorana phases Oscillation experiments “normal” “inverted” ( or ) : free Cosmological observations (WMAP only) (WMAP+BAO+SN)
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Lepton Flavor Violating Processes
(the ones we used) severe constraint
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: correlate with each other in the HTM
severe constraint
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: correlate with each other in the HTM
severe constraint
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This Work We translate constraints as a lower-bound on
considering the correlation through Which process does give the strongest bound? We obtained analytical solution Naively, will give it. for arbitrary Majorana phases However, for E.J. Chun, K.Y. Lee, S.C. Park, PLB566, 142 M. Kakizaki, Y. Ogura, F. Shima, PLB566, 210 and for A.G. Akeroyd, HS, M. Aoki, PRD79, How much can we relax the lower-bound? for all the bound vanishes impossible in the HTM because
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Constraint from contour of lower-bound on
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Which process does give the strongest bound?
examples for lower bound on
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The process of the strongest bound :
white region: can not be zero lower bound on
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examples for lower bound on
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The process of the strongest bound :
white region: can not be zero lower bound on
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possible only for Which process does give the strongest bound? examples lower bound on
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The process of the strongest bound :
lower bound on
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The Most Relaxed Bound If and/or ,
bound on from is almost independent of parameters.
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Conclusion The process of the strongest bound on : and Other (or )
The most relaxed bound :
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