The Higgs mass derived from the U (3) Lie group (original) (raw)
Related papers
A Higgs at 125 GeV and baryon mass spectra derived from a common U(3) framework
Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2015), 2016
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.
2013
We investigate the neutron to proton decay via a Higgs mechanism in the framework of a reinterpreted Kogut-Susskind Hamiltonian on the Lie group u(3). We calculate expressions for a scalar Higgs mass, an electroweak energy scale, and vector gauge boson masses which all compare well with observed or derived values. Our sole ad hoc inputs to the calculations are the classical electron radius and the weak mixing angle. Our result for the Higgs mass relative to the electron mass involves only mathematical constants and the fine structure constant. It yields 125.1 GeV for a fine structure constant taken as a geometric mean between it's sliding scale values at respectively the electron mass and the W vector boson mass which are both involved in the neutron decay. In passing we compare with the neutral flavour baryon spectrum and mention an approximate calculation of the relative neutron to proton mass ratio of 0.13847 percent which is promisingly close to the observed value of 0.137842 percent. We finally mention the Fermi coupling constant as a derived quantity.
2016
We present a hamiltonian structure on the Lie group u(3) to describe the baryon spectrum. The ground state is identified with the proton. From this single fit we calculate approximately the relative neutron to proton mass shift to within half a percentage of the experimental value. From the same fit we calculate the nucleon and delta resonance spectrum with correct grouping and no missing resonances. For specific spin eigenfunctions we calculate the delta to nucleon mass ratio to within one percent. Finally we derive parton distribution functions that compare well with those for the proton valence quarks. The distributions are generated by projecting the proton state to space via the exterior derivative on u(3). We predict scarce neutral flavour singlets which should be visible in neutron diffraction dissociation experiments or in invariant mass spectra of protons and negative pions in B-decays and in photoproduction on neutrons. The presence of such singlet states distinguishes exp...
2011
We propose to consider quark degrees of freedom as projections of an interior dynamics of baryons. We assume a hamiltonian structure on the Lie group u(3) to describe the baryon spectrum. The ground state is identified with the proton. From this we calculate approximately the relative neutron to proton mass shift to within half a percentage of the experimental value. We calculate the nucleon and delta resonance spectrum with correct grouping and only one resoncance missing when compared with the certain ones. We have no ad hoc masses nor other fitting parameters except the scale. For specific spin eigenfunctions we calculate the delta to nucleon mass ratio to within one percent. Finally we derive parton distribution functions that compare well with those for the proton valence quarks. Conceptually the Hamiltonian may represent an effective phenomenology or more radically describe the baryon itself as a fundamental entity and quarks and gluons as mere scattering structures.
2016
We propose to consider quark degrees of freedom as projections of an interior dynamics of baryons. We assume a hamiltonian structure on the Lie group u(3) to describe the baryon spectrum. The ground state is identified with the proton. From this we calculate approximately the relative neu-tron to proton mass shift to within half a percentage of the experimental value. We calculate the nucleon and delta resonance spectrum with correct grouping and only one resoncance missing when compared with the certain ones. We have no ad hoc masses nor other fitting parameters except the scale. For specific spin eigenfunctions we calculate the delta to nucleon mass ratio to within one percent. Finally we derive parton distribution functions that compare well with those for the proton valence quarks. Conceptually the Hamiltonian may represent an effective phenomenology or more radically describe the baryon itself as a fundamental entity and quarks and gluons as mere scattering structures. PACS num...
We propose to consider quark degrees of freedom as projections of an interior dynamics of baryons. We assume a hamiltonian structure on the Lie group u(3) to describe the baryon spectrum. The ground state is identified with the proton. From this we calculate approximately the relative neutron to proton mass shift to within half a percentage of the experimental value. We calculate the nucleon and delta resonance spectrum with correct grouping and only one resoncance missing when compared with the certain ones. We have no ad hoc masses nor other fitting parameters except the scale. For specific spin eigenfunctions we calculate the delta to nucleon mass ratio to within one percent. Finally we derive parton distribution functions that compare well with those for the proton valence quarks. Conceptually the Hamiltonian may represent an effective phenomenology or more radically describe the baryon itself as a fundamental entity and quarks and gluons as mere scattering structures.
Baryons from quantum mechanics on the Lie group u(3)
arXiv (Cornell University), 2011
We present a hamiltonian structure on the Lie group u(3) to describe the baryon spectrum. The ground state is identified with the proton. From this single fit we calculate approximately the relative neutron to proton mass shift to within half a percentage of the experimental value. From the same fit we calculate the nucleon and delta resonance spectrum with correct grouping and no missing resonances. For specific spin eigenfunctions we calculate the delta to nucleon mass ratio to within one percent. Finally we derive parton distribution functions that compare well with those for the proton valence quarks. The distributions are generated by projecting the proton state to space via the exterior derivative on u(3). We predict scarce neutral flavour singlets which should be visible in neutron diffraction dissociation experiments or in invariant mass spectra of protons and negative pions in B-decays and in photoproduction on neutrons. The presence of such singlet states distinguishes experimentally the present model from the standard model as does the prediction of the neutron to proton mass splitting. Conceptually the Hamiltonian may describe an effective phenomenology or more radically describe interior dynamics implying quarks and gluons as projections from u(3) which we then call allospace.
On pion mass and decay constant from theory
Europhysics Letters, 2021
We calculate the pion mass from Goldstone modes in the Higgs mechanism related to the neutron decay. The Goldstone pion modes acquire mass by a vacuum misalignment of the Higgs field. The size of the misalignment is controlled by the ratio between the electronic and the nucleonic energy scales. The nucleonic energy scale is involved in the neutron to proton transformation and the electronic scale is involved in the related creation of the electronic state in the course of the electroweak neutron decay. The respective scales influence the mapping of the intrinsic configuration spaces used in our description. The configuration spaces are the Lie groups U(3) for the nucleonic sector and U(2) for the electronic sector. These spaces are both compact and lead to periodic potentials in the Hamiltonians in coordinate space. The periodicity and strengths of these potentials control the vacuum misalignment and lead to a pion mass of 135.2(1.5) MeV with an uncertainty mainly from the fine stru...