论文标题
晶格QCD中的中性less双β衰减：短路$π^ - \rightarrowπ^+ e^ - e^ - $ a振幅
Neutrinoless Double Beta Decay from Lattice QCD: The Short-Distance $π^-\rightarrowπ^+ e^- e^-$ Amplitude
论文作者
论文摘要
这项工作确定了对非物理$π^ - \rightarrowπ^+ e^ - e^ - $ $衰减的潜在短距离贡献。五个标准模型有效田间理论运算符的t矩阵元素描述了对过渡幅度的耐药贡献，这些元素元素是在五个域壁式费米子的集合上计算出的，$ n_f = 2 + 1 $ $ quark风格，具有一系列重量较重的光夸克质量值。矩阵元素使用手性有效场理论中得出的功能形式（$χ\ \ mthrm {eft} $），将矩阵元素推送到连续体，物理光夸克质量和无限体积限制。这种外推还得出了相关的低能常数为$χ\ m atrm {eft} $，这对于$χ\ \ mathrm {eft} $计算中性核元素的核的计算是必要的输入。
This work presents a determination of potential short-distance contributions to the unphysical $π^-\rightarrowπ^+ e^- e^-$ decay through lattice QCD calculations. The hadronic contributions to the transition amplitude are described by the pion matrix elements of five Standard Model Effective Field Theory operators, which are computed on five ensembles of domain-wall fermions with $N_f = 2 + 1$ quark flavors with a range of heavier-than-physical values of the light quark masses. The matrix elements are extrapolated to the continuum, physical light-quark mass, and infinite volume limit using a functional form derived in chiral Effective Field Theory ($χ\mathrm{EFT}$). This extrapolation also yields the relevant low-energy constants of $χ\mathrm{EFT}$, which are necessary input for $χ\mathrm{EFT}$ calculations of neutrinoless double beta decay of nuclei.
