Froggatt, C. and Nielsen, H. (2009) Remarkable coincidence for the top Yukawa coupling and an approximately massless bound state. Physical Review D, 80(3), (doi: 10.1103/PhysRevD.80.034033)
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Publisher's URL: http://dx.doi.org/10.1103/PhysRevD.80.034033
Abstract
We calculate, with several corrections, the nonrelativistic binding by Higgs exchange and gluon exchange between six top and six antitop 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<sub>t</sub>, the experimental running top-quark Yukawa coupling g<sub>t</sub>=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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Froggatt, Professor Colin |
| Authors: | Froggatt, C., and Nielsen, H. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review D |
| Publisher: | American Physical Society |
| ISSN: | 1550-7998 |
| ISSN (Online): | 1089-4918 |
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