A Higgs mass at 125 GeV calculated from neutron to proton decay in a u(3) Lie group Hamiltonian framework (original) (raw)
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The Higgs mass derived from the U (3) Lie group
The Higgs mass value is derived from a Hamiltonian on the Lie group U(3) where we relate strong and electroweak energy scales. The baryon states of nucleon and delta resonances originate in specific Bloch wave degrees of freedom coupled to a Higgs mechanism which also gives rise to the usual gauge boson masses. The derived Higgs mass is around 125 GeV. From the same Hamiltonian we derive the relative neutron to proton mass ratio and the N and Delta mass spectra. All compare rather well with the experimental values. We predict scarce neutral flavor baryon singlets that should be visible in scattering cross sections for negative pions on protons, in photoproduction on neutrons, in neutron diffraction dissociation experiments and in invariant mass spectra of protons and negative pions in B-decays. The fundamental predictions are based on just one length scale and the fine structure constant. More particular predictions rely also on the weak mixing angle and the up-down quark flavor mixing matrix element. With differential forms on the measure-scaled wavefunction, we could generate approximate parton distribution functions for the u and d valence quarks of the proton that compare well with established experimental analysis.
arXiv (Cornell University), 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.
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.
Nphys3005 Evidence for the direct decay of the 125 Ge V Higgs boson to fermions
The discovery of a new boson with a mass of approximately 125 GeV in 2012 at the Large Hadron Collider 1-3 has heralded a new era in understanding the nature of electroweak symmetry breaking and possibly completing the standard model of particle physics 4-9 . Since the first observation in decays to γγ, WW and ZZ boson pairs, an extensive set of measurements of the mass 10,11 and couplings to W and Z bosons 11-13 , as well as multiple tests of the spin-parity quantum numbers 10,11,13,14 , have revealed that the properties of the new boson are consistent with those of the long-sought agent responsible for electroweak symmetry breaking. An important open question is whether the new particle also couples to fermions, and in particular to down-type fermions, as the current measurements mainly constrain the couplings to the up-type top quark. Determination of the couplings to down-type fermions requires direct measurement of the corresponding Higgs boson decays, as recently reported by the Compact Muon Solenoid (CMS) experiment in the study of Higgs decays to bottom quarks 15 and τ leptons 16 . Here, we report the combination of these two channels, which results in strong evidence for the direct coupling of the 125 GeV Higgs boson to down-type fermions, with an observed significance of 3.8 standard deviations, when 4.4 are expected.
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.
Decay of charged Higgs boson in the 3-3-1 model with neutral leptons
In the model 3-3-1 with neutral leptons, we used the condition imposed on the Higgs potential to derive mass spectra and physics states of neutral and charged Higgs bosons related to H W . We also calculate all couplings and give Feynman diagrams. Most importantly, we give analytical results for the contributing components and the total amplitude of H W
Properties of the Higgs boson with mass near 125 GeV are measured in proton-proton collisions with the CMS experiment at the LHC. Comprehensive sets of production and decay measurements are combined. The decay channels include γ γ , ZZ, WW, τ τ , bb, and μμ pairs. The data samples were collected in 2011 and 2012 and correspond to integrated luminosities of up to 5.1 fb −1 at 7 TeV and up to 19.7 fb −1 at 8 TeV. From the high-resolution γ γ and ZZ channels, the mass of the Higgs boson is determined to be 125.02 +0.26 −0.27 (stat) +0.14 −0.15 (syst) GeV. For this mass value, the event yields obtained in the different analyses tagging specific decay channels and production mechanisms are consistent with those expected for the standard model Higgs boson. The combined best-fit signal relative to the standard model expectation is 1.00 ± 0.09 (stat) +0.08 −0.07 (theo) ± 0.07 (syst) at the measured mass. The couplings of the Higgs boson are probed for deviations in magnitude from the standard model predictions in multiple ways, including searches for invisible and undetected decays. No significant deviations are found.
Heavy Gravitons On-Shell Decay of Higgs Boson at High Scale of Energy
We propose a gauge theory of gravity with heavy gravitons. In this framework, we examine whether renormalization effects can cause Newton’s constant to change dramatically with energy, perhaps even reducing the scale of quantum gravity to the TeV region. For the Standard Model (SM) Higgs boson, with mass 125GeV, we derive the invisible width of Higgs boson decay into heavy gravitons and calculate the ratios of partial widths and couplings for the Higgs decays into heavy gravitons and W vector bosons. This proposition may reveal Higgs and graviton properties for new physics Beyond Standard Model (BSM).
The European physical journal. C, Particles and fields
Properties of the Higgs boson with mass near 125[Formula: see text] are measured in proton-proton collisions with the CMS experiment at the LHC. Comprehensive sets of production and decay measurements are combined. The decay channels include [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] pairs. The data samples were collected in 2011 and 2012 and correspond to integrated luminosities of up to 5.1[Formula: see text] at 7[Formula: see text] and up to 19.7[Formula: see text] at 8[Formula: see text]. From the high-resolution [Formula: see text] and [Formula: see text] channels, the mass of the Higgs boson is determined to be [Formula: see text]. For this mass value, the event yields obtained in the different analyses tagging specific decay channels and production mechanisms are consistent with those expected for the standard model Higgs boson. The combined best-fit signal relative to the standard model exp...