论文标题

无肾上腺浓度的浓度凝聚力方案中的包含$τ$ hadronic衰减率

Inclusive $τ$ Hadronic Decay Rate in a Renormalon-Free Gluon Condensate Scheme

论文作者

Benitez-Rathgeb, Miguel A., Boito, Diogo, Hoang, André H., Jamin, Matthias, Regner, Christoph

论文摘要

在我们中一些人最近的一项工作中,表明,在CIPT和FOPT扩展方法中计算出的包含HADRONIC TAU衰减率的QCD扰动系列之间的长期差异可以从CIPT具有与运营商生产商的标准形式(OPE)的标准形式(OPE)相吻合的事实中,从而可以低估。对于QCD Adler函数的混凝土IR肾术模型,可以根据CIPT系列扩展的Borel表示,可以通过分析计算出渐近分离的CIPT-FOPT差异。如果在5循环水平上对QCD ADLER功能的已知扰动校正已经具有与Gluon冷凝物(GC)肾上腺肾上腺统的渐近行为相当大的贡献,则渐近分离由该肾上腺肾上腺统治。这意味着当采用了无肾上腺龙方案时,可以将CIPT扩展与FOPT进行调解。在这次演讲中,我们讨论了GC的这种无肾上腺龙方案,该方案涉及类比使用短途夸克质量方案而不是极质量的扰动减法。使用混凝土逼真的高阶borel模型,用于ADLER功能,与已知的校正最多5个回路并包含相当大的GC肾上腺龙的贡献一致,我们表明,在切换到肾上腺无肾上腺无用的GC方案时,可以避免CIPT-FOPT差异。同时,$τ$ hadronic光谱函数力矩的扰动收敛对GC OPE校正非常敏感。我们表明,这些改进可能会导致更高的精确度以进行强耦合确定。

In a recent work by some of us it was shown that the long-standing discrepancy between the QCD perturbation series for the inclusive hadronic tau decay rate computed in the CIPT and FOPT expansion approaches can be understood from the fact that CIPT has an infrared (IR) sensitivity that it not compatible with the standard form of the operator production expansion (OPE). For concrete IR renormalon models for the QCD Adler function the resulting CIPT-FOPT discrepancy, the asymptotic separation, can be calculated analytically from the Borel representation of the CIPT series expansion. If the known perturbative corrections for the QCD Adler function at the 5-loop level already have a sizeable contribution from the asymptotic behavior related to the gluon condensate (GC) renormalon, the asymptotic separation is dominated by that renormalon. This implies that the CIPT expansion can be reconciled with FOPT, when a renormalon-free scheme for the GC is adopted. In this talk we discuss such a renormalon-free scheme for the GC, which involves perturbative subtractions in analogy to using short-distance quark mass schemes instead of the pole mass. Using a concrete realistic high-order Borel model for the Adler function consistent with the known corrections up to 5 loops and containing a sizeable GC renormalon contribution, we show that the CIPT-FOPT discrepancy can be avoided when switching to the renormalon-free GC scheme. At the same time, the perturbative convergence of $τ$ hadronic spectral funtion moments strongly sensitive to the GC OPE corrections is considerably improved. We show that these improvements may lead to higher precision for strong coupling determinations.

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