论文标题

红外抑制的QCD耦合和对哑G-2的耐药贡献

Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2

论文作者

Cvetic, Gorazd, Kogerler, Reinhart

论文摘要

QCD的变体被抑制在红外(IR)政权中的耦合,正如大容量的晶格计算所暗示的Landau-gauge Gluon和Ghost Dressing功能所暗示的那样。耦合进一步受到高动量方案中与扰动QCD的近似巧合的条件,以及中等动量状态下的$τ$ -Lepton半衰减率,该速率是通过肾上腺素化 - 吸引重置方法评估的速率。事实证明,获得的耦合没有兰道奇点。然后,通过将Borel Sum规则应用于Opal和Aleph(V+A) - 通道数据$τ$ -DECAY的$ D = 4,6 $冷凝物值,然后将相应的V-Channel Condensate值申请。然后,我们表明,通过将$ d = 4,6 $ ope术语正规化为v-channel adler Adler函数的$ d = 4,6 $ ope术语,可以重现hadronic真空两极化的正确值,$a_μ^{\ rm具有(1)} $。 GEV} $,提出了提出的QCD框架的内部一致性。

A variant of QCD with the coupling suppressed in the infrared (IR) regime, as suggested by large-volume lattice calculations of the Landau-gauge gluon and ghost dressing functions, is considered. The coupling is further restricted by the condition of approximate coincidence with perturbative QCD in the high momentum regime, and by the $τ$-lepton semihadronic decay rate in the intermediate momentum regime, the rate which is evaluated by a renormalon-motivated resummation method. The obtained coupling turns out to be free of Landau singularities. The $D=4,6$ condensate values of the Adler function are then extracted by application of the Borel sum rules to the OPAL and ALEPH (V+A)-channel data of $τ$-decay, and the corresponding V-channel condensate values are deduced as well. We then show that the correct value of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, $a_μ^{\rm had(1)}$, is reproduced by regularizing the $D=4,6$ OPE terms in the V-channel Adler function with IR-regularization masses ${\cal M}_{D/2} \lesssim 1 \ {\rm GeV}$, suggesting the internal consistency of the presented QCD framework.

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