Effects of Gauge Interactions on Fermion Masses in Models with Fermion Wavefunctions Separated in Higher Dimensions

摘要

We consider models that generate hierarchies via the separation of fermionwavefunctions in higher-dimensional spaces. We calculate the effects of gaugeinteractions between fermions and show that these are important and could helpto explain (i) why the heaviest known fermion is a charge 2/3 quark, ratherthan a charge -1/3 quark or a lepton, (ii) why this fermion has a mass $m_t$comparable to the electroweak symmetry breaking scale $M_{ew}$, (iii) thepatterns $m_t >> m_b > m_\tau$ and $m_c >> m_s > m_\mu$, and (iv) the smallnessof neutrino masses.