Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-06-10
Astronomy and Astrophysics
Astrophysics
Accepted for publication in ApJ
Scientific paper
10.1086/591039
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: $|\frac{\Delta v}{v}| ~ \leq 1.5 \cdot 10^{-4}$.
Arenhövel Hartmuth
Gaßner Josef M.
Lesch Harald
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