Primordial He4 Abundance Constrains the Possible Time Variation of the Higgs Vacuum Expectation Value

dc.creatorGassner, Josef M.
dc.creatorLesch, Harald
dc.date2006-06-19
dc.date2007-03-16
dc.date.accessioned2026-07-07T11:25:43Z
dc.date.available2026-07-07T11:25:43Z
dc.descriptionWe constrain the possible time variation of the Higgs vacuum expectation value ($v$) by recent results on the primordial $^4He$ abundance ($Y_P$). For that, we use an analytic approach which enables us to take important issues into consideration, that have been ignored by previous works, like the $v$-dependence of the relevant cross sections of deuterium production and photodisintegration, including the full Klein- Nishina cross section. Furthermore, we take a non-equilibrium Ansatz for the freeze-out concentration of neutrons and protons and incorporate the latest results on the neutron decay. Finally, we approximate the key-parameters of the primordial $^4He$ production (the mean lifetime of the free neutron and the binding energy of the deuteron) by terms of $v\over v_0$ (where $v_0$ denotes the present theoretical estimate). Eventually, we derive the relation $Y_P \simeq 0.2479 - 5.54 (\frac{v-v_0}{v_0})^2 - 0.808~ (\frac{v-v_0}{v_0})$ and the most stringent limit on a possible time variation of $v$ is given by: $-5.4 \cdot 10^{-4} \leq \frac{v-v_0}{v_0} \leq 4.4 \cdot 10^{-4}$.
dc.descriptionAccepted for publication in IJTP
dc.identifierhttps://arxiv.org/abs/astro-ph/0606459
dc.identifierhttp://arxiv.org/abs/astro-ph/0606459
dc.identifierInt.J.Theor.Phys.47:438-445,2008
dc.identifierdoi:10.1007/s10773-007-9467-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195597
dc.subjectAstrophysics
dc.titlePrimordial He4 Abundance Constrains the Possible Time Variation of the Higgs Vacuum Expectation Value
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