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arXiv 0806.1683astro-ph
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从原始$^4$ He丰度到Higgs场

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

Josef M. Gaßner, Harald Lesch, Hartmuth Arenhövel

摘要:

我们约束可能的时间变化的希格斯真空期望值($v$)的原始$^4$ He丰度($Y_P$)的最新结果。为此,我们改进了我们以前原始$^4$ He丰度解析计算中关键过程的解析模型。此外,还结合了中子衰变、基于WMAP五年观测的重子光子比和氘核结合能对$v$的新依赖关系的最新结果。最后,我们用$v$来近似弱冻结、氘核光致衰变截面、自由中子平均寿命、中子与质子质量差、费米耦合常数、电子质量和氘核结合能,并利用最近关于原始$^4$ He丰度的结果:$|\frac{Δv}{v}| ~ \leq 1.5 \cdot 10^{-4}$来约束其可能的时间变化.

英文摘要:

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: $|\frac{Δv}{v}| ~ \leq 1.5 \cdot 10^{-4}$.

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