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arXiv 0901.2965hep-ph
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排斥B介子衰变中k_T因子化的不一致性

Inconsistences of the k_T-Factorization in Exclusive B-Meson Decays

F. Feng, J. P. Ma, Q. Wang

摘要:

k_T-因子分解在B介子排斥衰变中有着广泛的应用。在这种因式分解中,微扰系数是从离壳部分子的散射中提取的。由于部分子的离壳性,所提取的微扰系数一般不是规范不变的。我们发现,这些微扰系数包含规范依赖的奇异性超过树级。这就导致了k_T-因子分解是规范依赖的,并且在一般协变规范中是违反的。这不符合物理学的预期。在因子分解中,一般B介子存在两种不同的波函数。我们证明了这两种波函数满足不同的演化方程,其解可用于对大测井曲线进行求和。基于这一事实,目前广泛使用的单波函数k_T分解法在超前对数近似下对大对数的估计是不一致的。

英文摘要:

The k_T-factorization has been widely used for exclusive decays of B-mesons. In this factorization the pertubative coefficients are extracted from scattering of off-shell partons. Because the off-shellness of partons the extracted pertubative coefficients in general are not gauge-invariant. We show that these perturbative coefficients contain gauge-dependent singularities beyond tree-level. This leads to that the k_T-factorization is gauge-dependent and violated in the general covariant gauge. This is not consistent with expectations of physics. In the factorization there exist two different wave functions for a B-meson in general. We show that the two wave functions satisfy different evolution equations whose solutions are used to re-sum large log's. Based on this fact, the rseummation of large log's at leading log approximation in the widely used k_T-factorization with only one wave function is inconsistent.

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