Nambu sum rule and the relation between the masses of composite Higgs bosons

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2013

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Language

en

Pages

1-14

Series

PHYSICAL REVIEW D, Volume 87, issue 7

Abstract

We review the known results on the bosonic spectrum in various Nambu-Jona-Lasinio models both in condensed matter physics and in relativistic quantum field theory including 3He−B, 3He−A, the thin films of superfluid 3He, and QCD (Hadronic phase and the color-flavor locking phase). Next, we calculate the bosonic spectrum in the relativistic model of top quark condensation suggested in [Phys. Lett. B 221, 177 (1989)]. In all considered cases, the sum rule appears, which relates the masses (energy gaps) Mboson of the bosonic excitations in each channel with the mass (energy gap) of the condensed fermion Mf as ∑M2boson=4M2f. Previously, this relation was established by Nambu for 3He−B and for the s-wave superconductor. We generalize this relation to the wider class of models and call it the Nambu sum rule. We discuss the possibility to apply this sum rule to various models of top quark condensation. In some cases, this rule allows us to calculate the masses of extra Higgs bosons that are the Nambu partners of the125 GeV Higgs.

Description

VK: 677001; 13250280

Keywords

bosonic spectrums, condensed matter physics, Nambu-Jona-Laisnio models, relativistic model of top quark condensation

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Citation

Volovik , G E & Zubkov , M A 2013 , ' Nambu sum rule and the relation between the masses of composite Higgs bosons ' , Physical Review D , vol. 87 , no. 7 , 075016 , pp. 1-14 . https://doi.org/10.1103/PhysRevD.87.075016