论文标题
QCD的nnlo的三体非左右重型$ b $衰减
Three-Body Non-Leptonic Heavy-to-heavy $B$ Decays at NNLO in QCD
论文作者
论文摘要
在过去的二十年中，在分解框架内广泛研究了$ b $介子的独家非局部两体衰减。但是，对相应的三体案例的探索直到最近才开始，部分是出于新数据的动机。我们在这里考虑从分解的角度，即重度过渡的角度来考虑最简单的非律师$ b $ $ b $。我们在$α_s$中仔细推导了oct/qCDF分解振幅，并讨论NLO和NNLO校正的数值影响。然后，我们研究狭窄的宽度极限，表明三体振幅在分析上重现了已知的准三体衰变振幅，并计算有限宽度的校正。最后，我们讨论了某些对扰动NLO和NNLO校正以及Dimeson LCDAS更高的Gegenbauer时刻敏感的可观察物。这是对QCD中NNLO的非律师三体$ b $衰减的首次研究。
Exclusive non-leptonic two-body decays of $B$ mesons have been studied extensively in the past two decades within the framework of factorization. However, the exploration of the corresponding three-body case has only started recently, in part motivated by new data. We consider here the simplest non-leptonic three-body $B$ decays from the point of view of factorization, namely heavy-to-heavy transitions. We provide a careful derivation of the SCET/QCDF factorized amplitudes to NNLO in $α_s$, and discuss the numerical impact of NLO and NNLO corrections. We then study the narrow-width limit, showing that the three-body amplitude reproduces analytically the known quasi-two-body decay amplitudes, and compute finite-width corrections. Finally, we discuss certain observables that are sensitive to perturbative NLO and NNLO corrections and to higher Gegenbauer moments of the dimeson LCDAs. This is the first study of non-leptonic three-body $B$ decays to NNLO in QCD.
