论文标题

PMC $ _ \ infty $:使用最大保密性原理的无限顺序尺度设定,这是消除扰动QCD的重新归一化量表的效率非常有效的方法

PMC$_\infty$: Infinite-Order Scale-Setting using the Principle of Maximum Conformality, A Remarkably Efficient Method for Eliminating Renormalization Scale Ambiguities for Perturbative QCD

论文作者

Di Giustino, Leonardo, Brodsky, Stanley J., Wang, Sheng-Quan, Wu, Xing-Gang

论文摘要

我们确定了可重新分解的SU(N)/U(1)规格理论的属性,固有的结合性($ ICF $)是物理可观察物的规模不变性的基础,并导致了一种非常有效的方法来解决常规的重新分配规模歧义,以PQCD的每个顺序:pmc $ _ f the ppqcd:pmc $ _ infty $。这种新方法反映了PQCD在NNLO上显示的潜在共形性,消除了PQCD预测的方案依赖性,并且与PMC的一般特性(最大保结原理)一致。我们引入了一种新方法,以识别可以应用于数值或理论计算的保形和$β$ term。我们说明了$ e^+ e^ - $ nihilation的推力和C参数分布的PMC $ _ \ infty $,然后我们展示了如何将此新方法应用于QCD中的一般可观察物。我们指出,PMC $ _ \ infty $的实现如何显着提高PQCD预测的精度;它在多环分析中的实现还简化了一般可统计学规程理论中较高阶的校正的计算。

We identify a property of renormalizable SU(N)/U(1) gauge theories, the intrinsic Conformality ($iCF$), which underlies the scale invariance of physical observables and leads to a remarkably efficient method to solve the conventional renormalization scale ambiguity at every order in pQCD: the PMC$_\infty$. This new method reflects the underlying conformal properties displayed by pQCD at NNLO, eliminates the scheme dependence of pQCD predictions and is consistent with the general properties of the PMC (Principle of Maximum Conformality). We introduce a new method to identify conformal and $β$-terms which can be applied either to numerical or to theoretical calculations. We illustrate the PMC$_\infty$ for the thrust and C-parameter distributions in $e^+ e^-$ annihilation and then we show how to apply this new method to general observables in QCD. We point out how the implementation of the PMC$_\infty$ can significantly improve the precision of pQCD predictions; its implementation in multi-loop analysis also simplifies the calculation of higher orders corrections in a general renormalizable gauge theory.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源