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Higgs – Induced Lepton Flavor Violation

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Higher <strong>–</strong> dimensional operators : reminder<br />

17<br />

Now, we set off to try and reproduce the lepton mass hierarchy. Reminder of the initial<br />

hypothesis :<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 />

We consider the general expansion of the yukawas:<br />

Y ij (H) =<br />

1X<br />

n ij =0<br />

·(n ij)<br />

ij<br />

µ H y H<br />

M 2 nij<br />

- In principle an infinite series, where the<br />

lowest order terms should dominate for<br />

each Yukawa coupling.<br />

- Naturalness suggest that these<br />

coefficients should be O(1).<br />

- They could also be zero, if for<br />

instance some symmetry is at play<br />

in the high-energy theory.

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