The Higgs boson origins and exact solutions to a classical SU(2) × U(1) gauge theory

David N. A. Forrester

doi:10.1209/0295-5075/123/51001

All issues

Volume 123 / No 5 (September 2018)

EPL, 123 5 (2018) 51001

Abstract

Issue		EPL Volume 123, Number 5, September 2018


Article Number		51001
Number of page(s)		7
Section		The Physics of Elementary Particles and Fields
DOI		https://doi.org/10.1209/0295-5075/123/51001
Published online		08 October 2018

EPL, 123 (2018) 51001

The Higgs boson origins and exact solutions to a classical SU(2) × U(1) gauge theory

David N. A. Forrester

CNB Centre - 12 Wentworth Street, Manly, NSW 2095, Australia

Received: 14 August 2018
Accepted: 7 September 2018

Abstract

We demonstrate that a class of solutions to an $SU(2)\times U(1)$ gauge theory uniquely determines a $\varphi^{4}$ scalar field theory with mass $125.13\ \text{GeV}$ . The relationship $M_{H}=2M_{Z}+(2M_{W}^{2}-M_{Z}^{2})^{\frac{1}{2}}$ connecting the masses of the Higgs and Wand Z bosons is derived. The class of solutions to the $SU(2)\times U(1)$ gauge theory and the scalar field theory are found to be in one-to-one correspondence. This relationship may provide a solution to the Higgs hierarchy problem.

PACS: 11.15.Kc – Classical and semiclassical techniques / 12.60.Fr – Extensions of electroweak Higgs sector / 03.50.Kk – Other special classical field theories

© EPLA, 2018

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