Observation of the Higgs Boson of strong interaction via Compton scattering by the nucleon

Abstract

It is shown that the Quark-Level Linear $\sigma$ Model (QLL$\sigma$M) leads to a prediction for the diamagnetic term of the polarizabilities of the nucleon which is in excellent agreement with the experimental data. The bare mass of the $\sigma$ meson is predicted to be $m_{\sigma }=666$ MeV and the two-photon width $\Gamma (\sigma \to \gamma \gamma )=(2.6\pm 0.3)$ keV. It is argued that the mass predicted by the QLL$\sigma$M corresponds to the $\gamma \gamma \to \sigma \to NN$ reaction, i.e. to a $t$-channel pole of the $\gamma N\to N\gamma$ reaction. Large -angle Compton scattering experiments revealing effects of the $\sigma$ meson in the differential cross section are discussed. Arguments are presented that these findings may be understood as an observation of the Higgs boson of strong interaction while being part of the constituent quark.

17 pages, 6 figures

References in corpus (17)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Predictive powers of chiral perturbation theory in Compton scattering off protons
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• Amplitude Analysis of High Statistics Results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$ and the Two Photon Width of Isoscalar States
• Improved dispersion relations for γγ\to π^0π^0
• Two photons into π^0π^0
• Location, correlation, radiation: where is the $\sigma$, what is its structure and what is its coupling to photons?
• The sigma -> gamma gamma Width from Nucleon Electromagnetic Polarizabilities
• Constituent Quark Masses and the Electroweak Standard Model
• Comment on "Two-photon decay of the sigma meson"
• Polarizabilities of the nucleon and spin dependent photo-absorption
• Structure of the Scalars
• Two-photon width and gluonic component of sigma/f_0(600)
• Note on the magnetic moment of the nucleon
• Obtaining sigma --> gamma gamma Width from Nucleon Polarizabilities
• The pion nucleon coupling constant and the Goldberger-Treiman relation

Cited by in corpus (9)

• Roy-Steiner equations for gamma gamma -> pi pi
• The Quark-Level Linear σ Model
• Dispersion theory of nucleon Compton scattering and polarizabilities
• Structure of scalar mesons and the Higgs sector of strong interaction
• Structure of the nucleon and spin-polarizabilities
• Nambu's Nobel Prize, the $\sigma$ meson and the mass of visible matter
• Mass generation via the Higgs boson and the quark condensate of the QCD vacuum
• Isospin symmetry breaking in double-pion production in the region of $d^{\ast }(2380)$ and the scalar $\sigma$ meson
• Conference Report: Structure of scalar mesons and the Higgs sector of strong interaction