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arXiv 1503.00735hep-ph
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非轻子重到重衰变的双环主积分

Two-loop master integrals for non-leptonic heavy-to-heavy decays

Tobias Huber, Susanne Krankl

摘要:

在最近提出的正则基下,我们解析地计算了非轻子重-重衰变的双圈主积分。对于这个真正的双循环,双尺度问题,我们首先推导出一个基础的主积分,解开运动学的空间-时间维的微分方程,并随后解决后者的迭代积分的权重4。该解决方案构成了另一个有价值的例子,发现一个典型的基础,两个环路主积分,有两个不同的内部质量,并假设一种形式,非常适合于随后的卷积与光锥分布振幅的框架QCD因式分解。

英文摘要:

We compute the two-loop master integrals for non-leptonic heavy-to-heavy decays analytically in a recently-proposed canonical basis. For this genuine two-loop, two-scale problem we first derive a basis for the master integrals that disentangles the kinematics from the space-time dimension in the differential equations, and subsequently solve the latter in terms of iterated integrals up to weight four. The solution constitutes another valuable example of the finding of a canonical basis for two-loop master integrals that have two different internal masses, and assumes a form that is ideally suited for a subsequent convolution with the light-cone distribution amplitude in the framework of QCD factorisation.

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