论文标题
大型$ n_c $和对平等竞争性低能系数的三源性操作员的均等范围的限制
Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
论文作者
论文摘要
我们从具有三个衍生物的操作员延伸到具有三个衍生物的运算符，分析两体性辐射平价违反的分析在无挑选的有效野外理论（eft $ _ {π\！/} $）和大$ n_c $扩展中，其中$ n_c $是量子Chromodynamics（QCD）中的颜色数量。在弹性散射中，这些运营商贡献了$ s $ - $ p $和$ p $ - $ d $ wave transitions，其中五个操作员及其伴随的低能系数（LEC）表征了$ s $ -s $ - $ p $过渡，六个运营商和六个运算符和lecs和lecs $ p $ d $ d $ $ d $。我们表明，大$ n_c $分析将它们分为$ n_c $中的领先顺序，$ n_c $中的近代领先顺序等。我们还讨论了这些LEC的重新归一化量表依赖性。我们的分析可以补充晶格QCD计算，并有助于优先考虑未来的平价实验。
We extend from operators with one derivative to operators with three derivatives the analysis of two-body hadronic parity violation in a combined pionless effective field theory (EFT$_{π\!/}$) and large-$N_c$ expansion, where $N_c$ is the number of colors in quantum chromodynamics (QCD). In elastic scattering, these operators contribute to $S$-$P$ and $P$-$D$ wave transitions, with five operators and their accompanying low energy coefficients (LECs) characterizing the $S$-$P$ transitions and six operators and LECs those in $P$-$D$ transitions. We show that the large-$N_c$ analysis separates them into leading order in $N_c$, next-to-leading order in $N_c$, etc. Relationships among EFT$_{π\!/}$ LECs emerge in the large-$N_c$ expansion. We also discuss the renormalization scale dependence of these LECs. Our analysis can complement lattice QCD calculations and help prioritize future parity-violating experiments.
