Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-01-21
Phys.Rev. D48 (1993) 5293-5304
Physics
High Energy Physics
High Energy Physics - Phenomenology
phyzzx, 26 pp., 6 figures not included, e-mailable upon request, JHU-TIPAC-930002
Scientific paper
10.1103/PhysRevD.48.5293
Relations among fermion masses and mixing angles at the scale of grand unification are modified at lower energies by renormalization group running induced by gauge and Yukawa couplings. In supersymmetric theories, the $b$ quark and $\tau$ lepton Yukawa couplings, as well as the $t$ quark coupling, may cause significant running if $\tan \beta$, the ratio of Higgs field expectation values, is large. We present approximate analytic expressions for the scaling factors for fermion masses and CKM matrix elements induced by all three third generation Yukawa couplings. We then determine how running caused by the third generation of fermions affects the predictions arising from three possible forms for the Yukawa coupling matrices at the GUT scale: the Georgi-Jarlskog, Giudice, and Fritzsch textures.
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