Ancillary files for "Meson width differences and asymmetries - Calculations of higher order contributions to neutral B-meson mixing"

# Ancillary files of the PhD thesis ``Meson width differences and asymmetries'' by Marvin Gerlach This folder contains several ancillary files in Mathematica readable form. To load them just use "Get[fileName]" and all necessary information will be printed. The following files are available: * dB2MatrixElemens.m: One- and two-loop matrix elements of the Delta B=2 operators Q, Q_S and Q_S~ with a gluon mass as IR regulator. * Gamma12-Result.m: Final results for the matching coefficients H(z) and H_S~(z) of Gamma_{12} up to O(alpha_s^3) and to leading order in z * MassiveGluonMasterIntegrals.m: Analytic results of the master integrals which include a non-vanishing gluon mass. * R0-SupressionFactors.m: The one- and two-loop results for alpha_Q and alpha_{Q_S~} which recover the power supression of R_0 * ZdB2-Q-QS-QSt.m: Renormalization matrix for the Delta B=2 operator basis up to two-loop order with the physical operators Q, Q_S and Q_S~ * ZdB2-Q-QS-R0.m: Renormalization matrix for the Delta B=2 operator basis up to two-loop order with the physical operators Q, Q_S~ and R_0

# Marvin Gerlach的博士论文《介子宽度差异与不对称性》的辅助文件

本文件夹包含若干可被Mathematica读取的辅助文件。只需使用“Get[fileName]”命令加载文件，所有必要信息便会打印输出。

以下为可用文件列表：
* dB2MatrixElemens.m：以胶子质量作为红外调节器（IR regulator）的ΔB=2算符Q、Q_S及Q_S~的单圈和双圈矩阵元。
* Gamma12-Result.m：Gamma₁₂的匹配系数H(z)与H_S~(z)的最终结果，精度达O(αₛ³)且包含z的领头阶（leading order）项。
* MassiveGluonMasterIntegrals.m：包含非零胶子质量的主积分（master integrals）的解析结果。
* R0-SupressionFactors.m：用于恢复R₀幂次抑制效应的α_Q与α_{Q_S~}的单圈及双圈计算结果。
* ZdB2-Q-QS-QSt.m：ΔB=2算符基的重整化矩阵（renormalization matrix），精度达双圈阶，包含物理算符Q、Q_S及Q_S~。
* ZdB2-Q-QS-R0.m：ΔB=2算符基的重整化矩阵，精度达双圈阶，包含物理算符Q、Q_S~及R₀。