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arXiv 1008.3293hep-lat
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改进的格点量子色动力学半轻子形状因子计算

Improved Semileptonic Form Factor Calculations in Lattice QCD

Richard Evans, Gunnar Bali, Sara Collins

摘要:

本文研究了在重-轻半轻子形状因子的格点量子色动力学计算中,两种基于随机的替代序贯量子方法的计算效率。在第一种方法中,我们取代顺序传播,这对计算所需的三个传播的两个计算,与随机传播,使所有三个传播的计算是独立的。该方法比序贯滤波器方法更灵活,但引入了随机噪声。我们研究了噪声,以确定当这种方法成为竞争力的顺序算子方法,并发现,对于任何实际的计算,它是竞争力或优于顺序算子方法。我们还研究了第二种随机方法,即所谓的“一端技巧”,得出的结论是,在这种情况下,它是相对低效的。本文采用非微扰改进的Wilson-Sheikholeslami-Wohlert作用量,对两个规范场系综进行了研究。这两个系综有相似的晶格间距,但不同的海夸克质量。我们使用第一种随机方法提取了较轻海夸克系综上半轻子形状因子的${\mathcal O}(a)$ -改进的匹配格点结果,提取了f+(0)。

英文摘要:

We investigate the computational efficiency of two stochastic based alternatives to the Sequential Propagator Method used in Lattice QCD calculations of heavy-light semileptonic form factors. In the first method, we replace the sequential propagator, which couples the calculation of two of the three propagators required for the calculation, with a stochastic propagator so that the calculations of all three propagators are independent. This method is more flexible than the Sequential Propagator Method but introduces stochastic noise. We study the noise to determine when this method becomes competitive with the Sequential Propagator Method, and find that for any practical calculation it is competitive with or superior to the Sequential Propagator Method. We also examine a second stochastic method, the so-called ``one-end trick", concluding it is relatively inefficient in this context. The investigation is carried out on two gauge field ensembles, using the non-perturbatively improved Wilson-Sheikholeslami-Wohlert action with N_f=2 mass-degenerate sea quarks. The two ensembles have similar lattice spacings but different sea quark masses. We use the first stochastic method to extract ${\mathcal O}(a)$-improved, matched lattice results for the semileptonic form factors on the ensemble with lighter sea quarks, extracting f_+(0).

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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