Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-05-07
Phys.Lett. B441 (1998) 389-395
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 10 pages and 2 eps figures, application to QCD is described in detail
Scientific paper
10.1016/S0370-2693(98)01150-2
A new formula for the composite Higgs boson mass is given, based on the Ward-Takahashi identity and the Schwinger-Dyson(SD) equation. In this formula the dominant asymptotic solution of the SD equation yields a correct answer, in sharp contrast to the Partially Conserved Dilatation Current(PCDC) approach where the sub- and sub-sub-dominant solutions should be taken into account carefully. In the gauged Nambu-Jona-Lasinio model we find M_H \simeq \sqrt{2}M for the composite Higgs boson mass M_H and the dynamical mass of the fermion M in the case of the constant gauge coupling(with large cut off), which is consistent with the PCDC approach and the renormalization-group approach. As to the case of the running gauge coupling, we find M_H \simeq 2 \sqrt{(A-1)/(2A-1)}M, where A \equiv 18 C_2 /(11N_c - 2N_f) with C_2 being the quadratic Casimir of the fermion representation. We also discuss a straightforward application of our formula to QCD(without 4-Fermi coupling), which yields M_{\sigma} \sim \sqrt{2}M_{dyn}, with M_{\sigma} and M_{dyn} being the light scalar(``\sigma-meson'') mass and mass of the constituent quark, respectively.
No associations
LandOfFree
The Higgs Boson Mass and Ward-Takahashi Identity in Gauged Nambu-Jona-Lasinio Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Higgs Boson Mass and Ward-Takahashi Identity in Gauged Nambu-Jona-Lasinio Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Higgs Boson Mass and Ward-Takahashi Identity in Gauged Nambu-Jona-Lasinio Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-137144