论文标题

在长距离过程中的有限体积效应和无质量的松性传播器

Finite-volume effects in long-distance processes with massless leptonic propagators

论文作者

Christ, Norman H., Feng, Xu, Jin, Lu-Chang, Sachrajda, Christopher T.

论文摘要

在参考[1],提出了一种方法来计算QED校正,以从晶格QCD中进行HADRONIC自能量,而没有幂律有限体积误差。在本文中,我们将方法扩展到弱相互作用中二阶发生的过程,其中存在无质量(或几乎无质量的)麻裂传播器。我们证明,尽管存在几乎无质量电子的传播器,但可以使用这种无限体积重建程序来获得稀有的Kaon Decay $ k^+k^+\toπ^+\toπ^+bar的振幅,并从晶格量子量子计算中,仅具有实用的小量子级的小小的无限制校正。

In Ref. [1], a method was proposed to calculate QED corrections to hadronic self energies from lattice QCD without power-law finite-volume errors. In this paper, we extend the method to processes which occur at second-order in the weak interaction and in which there is a massless (or almost massless) leptonic propagator. We demonstrate that, in spite of the presence of the propagator of an almost massless electron, such an infinite-volume reconstruction procedure can be used to obtain the amplitude for the rare kaon decay $K^+\toπ^+ν\barν$ from a lattice quantum chromodynamics computation with only exponentially small finite-volume corrections.

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