Cosmological Evolution of the Higgs Boson's Vacuum Expectation Value

Abstract

We point out that the expansion of the universe leads to a cosmological time evolution of the vacuum expectation of the Higgs boson. Within the standard model of particle physics, the cosmological time evolution of the vacuum expectation of the Higgs leads to a cosmological time evolution of the masses of the fermions and of the electroweak gauge bosons while the scale of Quantum Chromodynamics (QCD) remains constant. Precise measurements of the cosmological time evolution of $\mu =m_e/m_p$, where $m_e$ and $m_p$ are respectively the electron and proton mass (which is essentially determined by the QCD scale), therefore provide a test of the standard models of particle physics and of cosmology. This ratio can be measured using modern atomic clocks.

References in corpus (5)

• Limits on a Gravitational Field Dependence of the Proton--Electron Mass Ratio from H${}_2$ in White Dwarf Stars
• Varying Alpha: New Constraints from Seasonal Variations
• Cosmological Evolution of Fundamental Constants: From Theory to Experiment
• Fundamental Constants in Physics and Their Time Variation
• Non-adiabatic quantum effects from a Standard Model time-dependent Higgs vev

Cited by in corpus (4)

• Measuring the stability of fundamental constants with a network of clocks
• Running vacuum in QFT in FLRW spacetime: The dynamics of ${\rho }_{\mathrm{vac}}(H)$ from the quantized matter fields
• Cosmic Variation of Proton to Electron Mass Ratio with an interacting Higgs Scalar Field
• The dynamics of vacuum, gravity and matter: Implications on the fundamental constants