Lepton Universality, Rare Decays and Split Fermions

Abstract

We investigate the constraint on the split fermions in extra dimensions by considering the universality of $W$ leptonic decays $W\to l_i{\nu }_i$, the charged lepton decays $l_i \ra l_jν_i\barν_j$, and the lepton flavor violating process $l_i\ra \bar{l}_j l_k l_h$ where $l_i=e,\mu$ or $\tau$. For the Standard Model (SM) background of $W\ra l_i ν_i$, we extended the one loop quantum correction to include effects of order $m_l^2/M_W^2$ and the Higgs mass dependence. We find that in general the split fermion scenarios give rise to a 4D effective Yukawa matrix of the Kaluza-Klein Higgs bosons is misaligned with respect to the fermion mass matrix. This holds true also for gauge bosons as well. This leads to decays of $l_i\ra \bar{l_j}l_k l_h$ at tree level and muonium antimuonium conversion. Interestingly the leptonic universality of $W$ boson decays are not affected at this level.

28 pages, 3 figures, expanded version,added references, Feynman rules included

References in corpus (8)

• Bounds on Universal Extra Dimensions
• Split Fermions in Extra Dimensions and CP Violation
• Neutrino masses with a single generation in the bulk
• Neutrino Masses and Lepton Flavour Violation in Thick Brane Scenarios
• Signals from extra dimensions decoupled from the compactification scale
• Neutrino Oscillations via the Bulk
• Phenomenological Analysis of Lepton and Quark Mass Matrices
• Large Mixing Induced by the Strong Coupling with a Single Bulk Neutrinos

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