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arXiv 0709.3046hep-phhep-th
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基本不稳定粒子对产生和衰变的修正微扰理论

Modified perturbation theory for pair production and decay of fundamental unstable particles

M. L. Nekrasov

摘要:

我们构造了基本不稳定粒子对产生和衰变截面的耦合常数的幂次渐近展开式。我们在分布的意义下处理膨胀中产生的共振奇异性和运动奇异性。这种模式允许我们将形式发散的积分转化为绝对收敛的积分,同时保持展开式的渐近性质。适当的程序被详细阐述到任意阶的扩展。分析了该方法在阈值区应用的特点。在NNLO近似的计算方案进行了明确的讨论。

英文摘要:

We construct an asymptotic expansion in powers of the coupling constant directly of the cross-section for pair production and decay of fundamental unstable particles. The resonant and kinematic singularities arising in the expansion we treat in the sense of distributions. This mode allows us to transform formally divergent integrals into absolutely convergent ones with keeping the asymptotic property of the expansion. The appropriate procedure is elaborated up to an arbitrary order of the expansion. The peculiarity of application of the procedure in the threshold region is analysed. The scheme of the calculations within the NNLO approximation is explicitly discussed.

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