标题： $K^{+}\toπ^{+}π^{0}$在有限体积中在手征展开的下一阶衰变 显示英文标题

标题： $K^{+}\toπ^{+}π^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes

摘要： 我们提出通过格点QCD和手征微扰理论（$\chi$PT）结合来确定$K^{+}\to\pi^{+}\pi^{0}$矩阵元的要素。 通过在非物理运动学下模拟这些矩阵元，可以确定所有低能常数（LECs），以在手征展开的下一阶（NLO）构造物理的$K^{+}\to\pi^{+}\pi^{0}$振幅。 在本工作中，计算了任意介子四动量的一环手征修正，分别在$\chi$PT和去夸克的$\chi$PT（q$\chi$PT）中，并研究了有限体积效应。 显示英文摘要

摘要： We present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible to determine all the low-energy constants (LECs) for constructing the physical $K^{+}\to\pi^{+}\pi^{0}$ amplitudes at next-to-leading order (NLO) in the chiral expansion. In this work, the one-loop chiral corrections are calculated for arbitrary meson four-momenta, in both $\chi$PT and quenched $\chi$PT (q$\chi$PT), and the finite-volume effects are studied.