论文标题
三环$β$ - 功能和两环异常尺寸在任意超对称减法方案中由较高的协变量衍生物正规化的MSSM
Three-loop $β$-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme
论文作者
论文摘要
对于任意的超对称减法方案，获得了由较高协变量的最小超对称标准模型的三环$β$ - 功能。为此，我们首先为所有MSSM手性物质超级场所计算两环异常维度，这些尺寸按裸耦合定义。然后，我们将NSVZ方程用于根据裸耦合定义的重新归一化组函数，在使用较高协变量的衍生衍生物正则化的情况下，这在所有订单中都是有效的。这给出了根据裸耦合定义的三环$β$函数。之后，我们构建了三环$β$符合函数和双环异常尺寸，该尺寸标准地定义了针对任意减法方案的重新归一化耦合而定义的。作为一个非平凡的正确性测试，我们验证对于某个重量化处方，一般结果将重现在$ \ overline {\ mbox {\ mbox {dr}} $ scheme中的早期获得的结果。另外，这可以被视为$ \ overline {\ mbox {dr}} $结果的独立确认。
Three-loop $β$-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous dimensions for all MSSM chiral matter superfields defined in terms of the bare couplings. Then we use the NSVZ equations for the renormalization group functions defined in terms of the bare couplings, which are valid in all orders in the case of using the higher covariant derivative regularization. This gives the three-loop $β$-functions defined in terms of the bare couplings. After that, we construct the three-loop $β$-functions and the two-loop anomalous dimensions standardly defined in terms of the renormalized couplings for an arbitrary subtraction scheme. As a nontrivial correctness test, we verify that for a certain renormalization prescription the general results reproduce the ones obtained earlier in the $\overline{\mbox{DR}}$ scheme. Also this can be considered as an indepedent confirmation of the $\overline{\mbox{DR}}$ results.
