Higgs – Induced Lepton Flavor Violation
Higgs – Induced Lepton Flavor Violation
Higgs – Induced Lepton Flavor Violation
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HDYC : another option<br />
5<br />
→ What if the Yukawa couplings depend on the <strong>Higgs</strong> field itself?<br />
(Babu, Nandi - hep-ph/9907213, Giudice, Lebedev <strong>–</strong> arXiv:0804.1753)<br />
- Assume an effective theory valid below some new physics scale M in which the Yukawas<br />
are functions of the <strong>Higgs</strong> field. Then, they can generically be expanded as<br />
- If we assume that the coefficients vanish up to a generation-dependent order n, the<br />
effective Yukawa Lagrangian can be written as<br />
Where<br />
Y ij (H) =<br />
c n ij<br />
→ Then, upon EWSB the Yukawas receive contributions scaling as powers of<br />
1X<br />
n=0<br />
c (n)<br />
ij<br />
Y u;d;l<br />
ij<br />
(H) = c u;d;l<br />
ij<br />
µ H y H<br />
M 2 n<br />
L Y = Y u<br />
ij (H)Q Li u Rj H ¡ Y d<br />
ij(H)Q Li d Rj H c ¡ Y l<br />
ij(H)L Li e Rj H c + h:c:<br />
² = v 2 =M 2<br />
µ H y n<br />
u;d;l<br />
ij<br />
H<br />
M 2
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