Top-bottom doublet in the sphaleron background

Details Top-bottom doublet in the sphaleron background Top-bottom doublet in the sphaleron background

1995-08-30

arxiv.org/abs/hep-ph/9508404v1

Phys.Lett.B363:189-195,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, latex + psfig, 4 uuencoded figures

Scientific paper

10.1016/0370-2693(95)01183-Q

We consider the top-bottom doublet in the background of the sphaleron for the realistic case of large non-degeneracy of fermion masses, in particular $m_b=5$ GeV and $m_t=175$ GeV. We propose an axially symmetric $(r,\theta)$-dependent ansatz for fermion fields and investigate the effects of the non-degeneracy on them. The exact solution is described, with an error less than 0.01\%, by a set of ten radial functions. We also propose an approximate solution, in the $m_b/m_t\rightarrow 0$ limit, with an error ${\cal O}(m_b/m_t)$. We have found that the effects of non-degeneracy provide a $\theta$-dependence typically $\sim 10\%$.

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