Remarkable coincidence for the top Yukawa coupling and an approximately massless bound state
Abstract
We calculate, with several corrections, the non-relativistic binding by Higgs exchange and gluon exchange between six top and six anti-top quarks (actually replaced by left-handed b quarks from time to time). The remarkable result is that, within our calculational accuracy of the order of 14% in the top quark Yukawa coupling g_t, the experimental running top-quark Yukawa coupling g_t = 0.935 happens to have just that value which gives a perfect cancellation of the unbound mass = 12 top-quark masses by this binding energy. In other words the bound state is massless to the accuracy of our calculation. Our calculation is in disagreement with a similar calculation by Kuchiev et al., but this deviation may be explained by a phase transition. We and Kuchiev et al. compute on different sides of this phase transition.
Keywords
Cite
@article{arxiv.0811.2089,
title = {Remarkable coincidence for the top Yukawa coupling and an approximately massless bound state},
author = {C. D. Froggatt and H. B. Nielsen},
journal= {arXiv preprint arXiv:0811.2089},
year = {2009}
}
Comments
68 pages, 3 figures; published version, including a discussion of the results of Ref. (5) and the new Appendix J