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arXiv 2107.05971hep-ph
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关于电弱重子生成的vev插入近似的另一种观点

A different perspective on the vev insertion approximation for electroweak baryogenesis

Marieke Postma

摘要:

在vev插入近似(VIA)中,质量矩阵中与时空相关的部分被视为微扰。我们计算了在质量插入中把自能和传播子都展开到一阶的重子生成源项,得到了与通常用零阶传播子计算二阶自能的方法相同的结果。这一过程明确地表明了在自由拉格朗日量和相互作用拉格朗日量中包含质量的等价性。VIA源则源自与半经典源相同的动力学方程中的项,但在导数展开(钻石算子的展开)中处于领先阶。在顶部,另一种类型的导数扩展,我们估计是有效的气泡宽度大于逆热宽度。这在热宽度消失的极限中切断了VIA源中的发散。

英文摘要:

In the vev insertion approximation (VIA) the spacetime dependent part of the mass matrix is treated as a perturbation. We calculate the source terms for baryogenesis expanding both the self-energy and propagator to first order in mass insertions, which gives the same results as the usual approach of calculating the self-energy at second order and using zeroth order propagators. This procedure shows explicitly the equivalence between including the mass in the free or in the interaction Lagrangian. The VIA source then originates from the same term in the kinetic equation as the semi-classical source, but at leading order in the derivative expansion (the expansion in diamond operators). On top, another type of derivative expansion is done, which we estimate to be valid for a bubble width larger than the inverse thermal width. This cuts off the divergence in the VIA source in the limit that the thermal width vanishes.

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