Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses

Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
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通过物理夸克质量的晶格模拟对轻介子轻子衰变进行同位旋断裂修正

DOI:
10.1007/jhep02(2023)242
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发表时间:
2023
影响因子:
5.4
通讯作者:
Boyle P
Boyle P
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Boyle P

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在理论预测和实验测量的几个强子观测量的弱过程,在许多情况下,现在小于O(1%)的不确定性降低,需要理论计算,包括subleading的修正,被忽略了。轻子和半轻子衰变率的精确测定,包括QED和强同位旋破缺效应,可以在解决CKM矩阵第一行么正性中的当前张力中发挥核心作用。在这项工作中,我们提出了第一个RBC/UKQCD晶格计算的同位旋破缺修正的比例轻子衰变率的介子和介子的介子和中微子。计算是在固定的晶格间距(a-1 <$1)下进行的。730 GeV)的量子阱中,采用Möbius公式中的畴壁费米子和Nf = 2+ 1的靠近物理点的动力学夸克.长距离QED相互作用包括根据QED L处方和有限体积的电磁修正的决定轻子衰变率,产生一个大的系统的不确定性的关键作用,进行了广泛的讨论。最后,我们研究了不确定性的不同来源,|诉美案|/|V ud|并观察到,如果有限体积系统学可以减少,从同位旋破坏校正的错误是潜在的次主导的CKM矩阵元素的比例的最终精度。
The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than O (1%), require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a− 1≃ 1. 730 GeV) on a 48 3× 96 volume with N f= 2+ 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the QED L prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on| V us|/| V ud| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements.
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