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arXiv 2103.13928hep-ph
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质子衰变的光锥求和规则

Light-cone sum rules for proton decay

Ulrich Haisch, Amando Hala

摘要:

我们利用光锥求和规则估计了质子-π介子跃迁的强子矩阵元的参数化形状因子。这些形状因子是相关的半轻子质子衰变通道引起的重子数违反六维运营商,通常在大统一理论的背景下研究。我们计算的形状因子在一个运动学制度的动量转移从质子到π介子是类空间和外推我们的最终结果的制度,是相关的质子衰变。这样,我们得到的形状因子的估计,显示与国家的最先进的计算在格点量子色动力学协议,如果考虑到系统的不确定性。我们的工作是计算更多涉及质子衰变通道的第一步,其中格点量子色动力学的结果是目前不可用的。

英文摘要:

We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.

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