Master integrals for double real radiation emission in heavy-to-light quark decay

We evaluate analytically the master integrals for double real radiation emission in the \(b \rightarrow u W^*\) decay, where b and u are a massive and massless quark, respectively, while \(W^{*}\) is an off-shell charged weak boson. Since the W boson can subsequently decay in a lepton anti-neutrino pair, the results of the present paper constitute a further step toward a fully analytic computation of differential distributions for the semileptonic decay of a b quark at NNLO in QCD. The latter partonic process plays a crucial role in the study of inclusive semileptonic charmless decays of B mesons. Our results are expressed in terms of multiple polylogarithms of maximum weight four.     

金岛膜表面二硫双琥珀酰亚胺基丙酸酯分子吸附行为的表面增强红外光谱分析

二硫双琥珀酰亚胺基丙酸酯(dithiobis-succinimidyl propionate,DTSP)是一种重要的同源双功能偶联分子,广泛地应用于蛋白质在载体表面的共价固定。研究利用表面增强红外光谱分析了DTSP分子在真空蒸镀金岛膜表面的吸附特性。首先通过密度泛函理论对吸附于金表面的DTSP分子进行了结构优化,计算了该分子的振动模式和红外强度。表面增强红外吸收和变角偏振反射吸收测量结果表明TSP分子在金表面有序排列,其五元杂环平面与金表面法线成65°左右的二面角。此外,表面增强红外光谱还成功地监测到了TSP分子和Nα′,Nα″二(羧甲基)-L-赖氨酸在金表面的实时组装过程。