Transverse momentum dependent factorization for radiative leptonic decay of B-meson

Transverse momentum dependent factorization for radiative leptonic decay of B-meson
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B 介子辐射轻子衰变的横向动量相关分解

DOI:
10.1088/1126-6708/2006/01/067
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发表时间:
2005-10
影响因子:
5.4
通讯作者:
--
中科院分区:
物理与天体物理2区
文献类型:
--
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在定义了B介子的横动量相关(TMD)光锥波函数的基础上,我们证明了辐射轻子B衰变的振幅可以在单圈水平上分解为波函数与微扰系数函数的卷积和软因子.在这种TMD分解中,B介子中部分子的横动量被考虑在内,所有的软发散都包含在波函数和软因子中。coefficient功能是红外安全的。因式分解在逐图的基础上工作,并且可以扩展到一个循环之外。利用因式分解法,可以简便地对微扰函数中的大扰动项进行图解。我们的工作表明,共线分解的结果可以从TMD分解的结果导出。因此,这里的两个因式分解只是相互关联的。
With a consistent definition of transverse-momentum-dependent(TMD) light-cone wave function of B-meson, we show that the amplitude of the radiative leptonic B-decay can be factorized at one-loop level as a convolution with the wave function and a perturbative coeffcient function, combined with a soft factor. In this TMD factorization, the transverse momenta of partons in the B-meson are taken into account and all soft divergences are contained in the wave function and the soft factor. The coeffcient function is infrared-safe. The factorization works on a diagram-by-diagram basis and is possible to extend beyond one loop. With the factorization the large logarithms in the perturbative function can be simply resummed. Our work shows that the result of collinear factorization for the decay can be derived from that of TMD factorization. Therefore, the two factorizations for the case here are simply related to each other.
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影响因子: 5
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