On the determination of |V_{ub}| from inclusive semileptonic B decays
Einan Gardi
备注：
23 pages, 2 figures, Prepared for the proceedings of the Rencontres de Physique de la Vallee d'Aoste, La Thuile, Aosta Valley, Italy, 24 February - 01 March 2008
Precision tests of the CKM mechanism and searches for new physics in the flavour sector require dedicated QCD calculations of decay widths and spectra. Significant progress has been achieved in recent years in computing inclusive B decay spectra into light energetic partons. I briefly review different theoretical approaches to this problem focusing on the determination of |V_{ub}| from inclusive semileptonic decays and show that this determination is robust. The largest uncertainty is associated with the value of the b quark mass. Finally I present new numerical results in the DGE resummation-based approach, now including O(beta_0 alpha_s^2) corrections. The results are presented for all relevant experimental cuts, from which a preliminary average is derived: |V_{ub}| = (4.30 \pm 0.16 (exp) ^{+0.09}_{-0.13} (th) ^{+0.39}_{-0.34} (m_b)) 10^{-3}, where the PDG value of the b quark mass, m_b^{\MSbar} = 4.20 \pm 0.07 GeV, is assumed.
The magnitude of the CKM matrix elements Vcb can be extracted from inclusive semileptonic B decays in a model independent way pioneered by Kolya Uraltsev and collaborators. I review here the present status and latest developments in this field.
We extend previous computations of the second order QCD corrections to semileptonic b \to c inclusive transitions, to the case where the charged lepton in the final state is massive. This allows accurate description of b \to c τ\bar ν_τdecays. We review techniques used in the computation of O(α_s^2) corrections to inclusive semileptonic b \to c transitions and present extensive numerical studies of O(α_s^2) QCD corrections to b \to c l \bar ν_l decays, for l =e, τ.
We present the results of a calculation of the perturbative QCD corrections for the semileptonic inclusive width of a heavy flavored meson. Within the Heavy Quark Expansion we analytically compute the QCD correction to the coefficient of power suppressed contribution of the chromo-magnetic operator in the limit of vanishing mass of the final state quark. The important phenomenological applications are decays of bottom mesons, and to the less extend, charmed mesons.
We present Standard Model predictions for lepton flavour universality ratios of inclusive $B\to X_{(c)} \ell \barν_\ell$. For the $\ell=μ,e$, these ratios are very close to unity as expected. For the $τ$ mode, we update the SM prediction for the branching ratio including power-corrections in the heavy-quark expansion up to $1/m_b^3$. These inclusive ratios serve as an important cross-check of the exclusive $B\to D^{(*)}\ell\barν_\ell$ modes, in which tensions exists between the predictions and measurements in those modes.
Non-factorization effects in heavy mesons and determination of |V_{ub}| from inclusive semileptonic B decays
考虑了重介子衰变中的旁观者轻夸克效应，这种效应在介子上四夸克算符矩阵元因式分解的极限下消失。这些效应包括D^0和D_s介子的总宽度和半轻子衰变率的差异，以及对B^0和B^ \pm进入与弱混合参数V_{ub}的确定有关的通道X_u l nu的包含半轻子衰变率的贡献。如果把所观察到的D_s和D^0介子寿命的差异归因于不可因式分解项，则这些项自然会引起这两种介子的包含半轻子衰变率的显著差异，并导致对衰变B -> X_u l nu的光味依赖贡献。后一种贡献主要影响轻子对不变质量包含谱的上部，并且可能显着超过文献中先前声称的确定的理论不确定度|V_{ub}| ^2从光谱的这一部分。
NNLO corrections to inclusive semileptonic B decays in the shape-function region
我们计算了形状函数区域中B -> X_u l nu衰变因子分解公式中硬系数函数的双圈QCD修正。我们的计算提供了包含半轻子B衰变的NNLO分析所需的最后一个缺失的部分，这可能会显着降低CKM矩阵元素|V_ub|提取的理论不确定性。在技术方面，我们发现，2-回路硬系数函数是免费的红外奇异性的因式分解框架所预测的。我们执行一个简短的数值分析的NNLO修正，并包括魅力质量效应的讨论。
We review recent experimental and theoretical developments in inclusive semileptonic B -> Xc l nu decays. In particular, we discuss the determination of |Vcb| and of the heavy quark masses through fits based on the Operator Product Expansion.
We summarize selected up-to-date results related to semileptonic $B$ meson decays, namely results on the exclusive determination of the parameter $|V_{cb}|$ of the CKM matrix, on the inclusive determination of $|V_{ub}|$, and on $R(D^{(*)})$.
We briefly summarize up-to-date results on the determination of the parameters of the Cabibbo-Kobayashi-Maskawa matrix $|V_{cb}|$ and $|V_{ub}|$, which play an important role in the unitarity triangle and in testing the Standard Model, and recent results on semileptonic $B$ meson decays involving a $τ$ lepton.
