论文标题
中微子双β衰减的评估：QCD运行到子GEV量表
Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
论文作者
论文摘要
我们评估了QCD效应的QCD效应（$0νβ$）衰减，该衰减源自五个维度9算子的形式，源自新的物理短距离机制。为此，我们对相应的Wilson系数采用了一环和两环重归化组方程（RGE），从新物理量表（估计为$ λ〜 \ sim 10^2 $ gev）中进行RGE进化到典型的Spacelike spacelike $ 0 NEM spacelike $ 0M spacelike $0νββ$ -Scale $ q \ q \ sim 0.1 $ GEV。由于后一个量表显然是非驱动性的，因此我们应用了QCD的各种红外安全性（IR-SAF）变体，在该QCD中，运行耦合在低速度类$ q $的情况下没有Landau奇异性。我们指出，耦合（非企业）功率的IR-SAF-SAF-SAFE类似物的正确处理很重要。事实证明，在大多数考虑的操作员的情况下，所得的QCD效应在此过程中可能很重要，即，在核基质元素中，当前不确定性的影响可能更强。
We evaluate QCD effects in the neutrinoless double beta ($0νββ$) decay, originating from new physics short-range mechanism in the form of five dimension-9 operators. For this, we employ the one-loop and two-loop renormalization group equations (RGEs) for the corresponding Wilson coefficients, performing the RGE-evolution from the new physics scales (estimated as $Λ~ \sim 10^2$ GeV) to the typical spacelike $0νββ$-scale $Q \sim 0.1$ GeV. Since the latter scale is clearly nonperturbative, we apply various infrared-safe (IR-safe) variants of QCD where the running coupling has no Landau singularities at low spacelike $Q$. We point out that the correct treatment of the IR-safe analogs of the (noninteger) powers of the couplings is important. It turns out that in most cases of the considered operators the resulting QCD effects can be significant in this process, i.e., can be stronger than the effects of the present uncertainties in the nuclear matrix elements.
