A Higgs at 125 GeV and baryon mass spectra derived from a common U(3) framework

Abstract

Baryons are described by a Hamiltonian on an intrinsic U(3) Lie group configuration space with electroweak degrees of freedom originating in specific Bloch wave factors. By opening the Bloch degrees of freedom pairwise via a U(2) Higgs mechanism, the strong and electroweak energy scales become related to yield the Higgs mass 125.085+/-0.017 GeV and the usual gauge boson masses. From the same Hamiltonian we derive both the relative neutron to proton mass ratio and the N and Delta mass spectra. All compare rather well with the experimental values. We predict neutral flavour baryon singlets to be sought for in negative pions scattering on protons or in photoproduction on neutrons and in invariant mass like Σ + c (2455)D − from various decays above the open charm threshold, e.g. at 4499, 4652 and 4723 MeV. The fundamental predictions are based on just one length scale and the fine structure coupling. The interpretation is to consider baryons as entire entities kinematically excited from laboratory space by three impact momentum generators, three rotation generators and three Runge-Lenz generators to internalize as nine degrees of freedom covering colour, spin and flavour. Quark and gluon fields come about when the intrinsic structure is projected back into laboratory space depending on which exterior derivative one is taking. With such derivatives on the measurescaled wavefunction, we derived approximate parton distribution functions for the u and d valence quarks of the proton that compare well with established experimental analysis.

On quarks and the origin of QCD: Partons and baryons from intrinsic states

“…analogue [29], which is more commonly used, w would read w Wilson (θ) = (1 − cos θ). However, the Wilson analogue does not represent well even the lowest-lying states if used in (34) in stead of the Manton-inspired potential we use here.…”

“…The Manton and Wilson inspired potentials yield the same value for the Higgs mass and the electroweak energy scale[19] whereas only the Manton inspired potential (6) gives a satisfactory reproduction of the baryon spectrum seen in fig.3. Figure adapted from[34].…”

“…Eigenvalues based on Slater determinants (43) of three cosines up to order 20 (see SM5). The first column shows eigenvalues from the approximate Hamiltonian (39) and the third column shows eigenvalues of the exact equation(34). The rest masses are predicted from a common fit of the neutron state 939.57 MeV to the ground state 4.382 of(34) with no period doublings.…”

“…The first column shows eigenvalues from the approximate Hamiltonian (39) and the third column shows eigenvalues of the exact equation(34). The rest masses are predicted from a common fit of the neutron state 939.57 MeV to the ground state 4.382 of(34) with no period doublings. The four resonances marked by an asterix (*) lie within the observational window in Λ 0 bdecays (44) at LHCb.…”

Intrinsic Quantum Mechanics. Particle physics applications on U(3) and U(2)

“…Today intrinsic quantum mechanics seems to be able to connect the strong and electroweak interaction sectors of particle physics. We have used intrinsic quantum mechanics to derive the electron to nucleon mass ratio and parton distributions for the up and down quark content of the proton [6], baryon spectra, electroweak energy scale and Higgs mass [7][8][9]. Further we have predicted beta decay neutrino mass scenarios and Higgs self-couplings [10].…”