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arXiv 2102.02184nucl-thhep-ph
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两核子无中微子双贝塔衰变与电荷无关破缺接触项的大-$N_c$分析

Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms

Thomas R. Richardson, Matthias R. Schindler, Saori Pastore, Roxanne P. Springer

备注：
16 pages, 1 figure, version accepted for publication in Physical Review C
发表信息：
Phys. Rev. C 103, 055501 (2021)
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AI总结：

本文通过大-$N_c$极限分析，证明了有效场论中无中微子双贝塔衰变领头阶接触项贡献估算的假设是合理的，并得出与唯象结果一致的CIB核子相互作用层级。

摘要：

寻找无中微子双贝塔衰变实验的解释依赖于核理论的输入。Cirigliano等人最近指出，对于轻马约拉纳交换形式，有效场论计算在领头阶需要一个 $nn\ o pp e^- e^-$ 接触项。他们通过将其与测量的电荷无关破缺（CIB）核子-核子相互作用相关联，并对CIB算符的相对大小做出假设，估算了这一贡献的大小。我们证明，这一近似所基于的假设在颜色数 $N_c$ 取大值的极限下是合理的。我们还获得了CIB核子-核子相互作用之间的大-$N_c$ 层级，该层级与唯象结果一致。

英文摘要：

The interpretation of experiments that search for neutrinoless double beta decay relies on input from nuclear theory. Cirigliano et al. recently showed that, for the light Majorana exchange formalism, effective field theory calculations require a $nn\to pp e^- e^-$ contact term at leading order. They estimated the size of this contribution by relating it to measured charge-independence-breaking (CIB) nucleon-nucleon interactions and making an assumption about the relative sizes of CIB operators. We show that the assumptions underlying this approximation are justified in the limit of the number of colors $N_c$ being large. We also obtain a large-$N_c$ hierarchy among CIB nucleon-nucleon interactions that is in agreement with phenomenological results.

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