### Abstract

Original language | English |
---|---|

Journal | International Journal of Modern Physics A |

Volume | 30 |

Issue number | 14 |

Pages (from-to) | 1550078 |

Number of pages | 34 |

ISSN | 0217-751X |

DOIs | |

Publication status | Published - 2015 |

### Bibliographical note

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License### Keywords

- Higgs mass
- Baryon resonances
- Neutrons and protons

### Cite this

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*International Journal of Modern Physics A*, vol. 30, no. 14, pp. 1550078. https://doi.org/10.1142/S0217751X15500785

**The Higgs mass derived from the U(3) Lie group.** / Trinhammer, Ole; Bohr, Henrik; Jensen, Mogens O Stibius.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - The Higgs mass derived from the U(3) Lie group

AU - Trinhammer, Ole

AU - Bohr, Henrik

AU - Jensen, Mogens O Stibius

N1 - This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License

PY - 2015

Y1 - 2015

N2 - 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 wave function, we could generate approximate parton distribution functions for the u and d valence quarks of the proton that compare well with established experimental analysis.

AB - 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 wave function, we could generate approximate parton distribution functions for the u and d valence quarks of the proton that compare well with established experimental analysis.

KW - Higgs mass

KW - Baryon resonances

KW - Neutrons and protons

U2 - 10.1142/S0217751X15500785

DO - 10.1142/S0217751X15500785

M3 - Journal article

VL - 30

SP - 1550078

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 14

ER -