From primordial ${}^4$He abundance to the Higgs field

Abstract

We constrain the possible time variation of the Higgs vacuum expectation value ($v$) by recent results on the primordial ${}^4$He abundance ($Y_P$). For that, we improve the analytic models of the key-processes in our previous analytic calculation of the primordial ${}^4$He abundance. Furthermore, the latest results on the neutron decay, the baryon to photon ratio based on 5-year WMAP observations and a new dependence of the deuteron binding energy on $v$ are incorporated. Finally, we approximate the weak freeze-out, the cross section of photo-disintegration of the deuteron, the mean lifetime of the free neutron, the mass difference of neutron and proton, the Fermi coupling constant, the mass of the electron and the binding energy of the deuteron by terms of $v$, to constrain its possible time variation by recent results on the primordial ${}^4$He abundance: $|\frac{\Delta v}{v}|\le 1.5\cdot 10^{-4}$.

Accepted for publication in ApJ

References in corpus (4)

• The primordial abundance of 4He: a self-consistent empirical analysis of systematic effects in a large sample of low-metallicity HII regions
• Primordial nucleosynthesis as a probe of fundamental physics parameters
• He~I Emission in the Orion Nebula and Implications for Primordial Helium Abundance
• Primordial He4 Abundance Constrains the Possible Time Variation of the Higgs Vacuum Expectation Value