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arXiv 0905.4807hep-ph
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将SUSY-QCD beta函数转换为三个循环

The SUSY-QCD beta function to three loops

Robert V. Harlander, Luminita Mihaila, Matthias Steinhauser

摘要:

本文在三圈水平上计算了软破SUSY QCD中的一些DR杆重整化常数:夸克、方子、胶子、胶子、鬼子和ε标量的波函数重整化常数,夸克和胶子质量以及所有立方顶点的重整化常数.后者允许我们通过三个循环导出相应的β函数,我们发现所有这些循环都与Jack、Jones和North [Jack:1996 vg]得到的规范β函数的表达式相同(另见参考文献[Pickering:2001 aq])。这清楚地证明了超对称理论与超对称理论和规范不变性的一致性,这是超对称理论中精确计算的重要前提。

英文摘要:

A number of DR-bar renormalization constants in softly broken SUSY-QCD are evaluated to three-loop level: the wave function renormalization constants for quarks, squarks, gluons, gluinos, ghosts, and epsilon-scalars, and the renormalization constants for the quark and gluino mass as well as for all cubic vertices. The latter allow us to derive the corresponding beta functions through three loops, all of which we find to be identical to the expression for the gauge beta function obtained by Jack, Jones, and North [Jack:1996vg] (see also Ref. [Pickering:2001aq]). This explicitely demonstrates the consistency of DRED with SUSY and gauge invariance, an important pre-requisite for precision calculations in supersymmetric theories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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