Higgs – Induced Lepton Flavor Violation

Dimension – 6 operators : formalism
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As a first step, we do not attempt explaining the lepton mass hierarchy. We instead
focus on the potential result of including only dimension – 6 operators:
µ
¡¢L = H ¹ l Li e Rj Y (0)
ij + Y (1) H y
H
ij
M 2
+ h:c:
This gives us a lepton mass matrix:
M ij = v
µ
Y (0)
ij + Y (1) v 2
ij
M 2
and a matrix of couplings of the physical Higgs boson with leptons:
Y ij = Y (0)
ij + 3Y (1) v 2
ij
M 2
Missalignment!
The mass matrix M is diagonalized by two unitary matrices U L
, U R
:
U y L M U R = diag(m e ; m ¹ ; m ¿ )
→ Then, the interaction matrices
Y ij
should be transformed accordingly.