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Aims. We calculate the constraints on the time variation of the Higgs vacuum expectation value from Big Bang Nucleosynthesis. Methods. Starting from the calculation of the deuterium binding-energy, as a function of the pion-mass and using the NN-Reid 93 potential, we calculate the abundances of primordial D and 4 He by modifying Kawano’s code. The Higgs vacuum expectation value (v) and the baryon to photon ratio (ηB) enter the calculation as free parameters. By using the observational data of D and 4 He, we set constraints on ηB and on the variation ofv, relative to a constant value of ΛQCD.

Effect of the variation of the Higgs vacuum expectation value upon the deuterium binding energy and primordial abundances of D and4He

Effect of the variation of the Higgs vacuum expectation value upon the deuterium binding energy and primordial abundances of D and⁴He