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arXiv 1905.04498hep-phhep-th
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B介子分布振幅的双圈演化方程

Two-loop evolution equation for the B-meson distribution amplitude

V. M. Braun, Yao Ji, A. N. Manashov

摘要:

我们导出了B介子光锥分布振幅的双圈演化方程,它是QCD因子分解中B衰变的QCD修正的次-次-首对数重算的最后一个缺失元素。我们认为,在微扰理论中的所有订单的演化内核可以写为对数的发电机的特殊共形变换倍的尖点异常尺寸,到一个方案依赖的整体常数。直到这个常数项为止,微扰论中到给定阶的演化核可以由少一阶的特殊共形反常的计算得到。

英文摘要:

We derive the two-loop evolution equation of the B-meson light-cone distribution amplitude which is the last missing element for the next-to-next-to-leading logarithmic resummation of QCD corrections to B decays in QCD factorization. We argue that the evolution kernel to all orders in perturbation theory can be written as a logarithm of the generator of special conformal transformations times the cusp anomalous dimension, up to a scheme-dependent overall constant. Up to this constant term, the evolution kernel to a given order in perturbation theory can be obtained from the calculation of special conformal anomaly at one order less.

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