Calculating the annihilation rate of weakly interacting massive particles.
Calculating the annihilation rate of weakly interacting massive particles.
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计算弱相互作用的大质量粒子的湮灭率。
DOI：
10.1103/physrevlett.114.211301
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发表时间：
2014
影响因子：
8.6
通讯作者：
V. Vaidya
中科院分区：
文献类型：
--
作者：
M. Baumgart;I. Rothstein;V. Vaidya
我们发展了一种形式论，允许人们系统地计算能量远远超过弱标度的伽马射线的弱相互作用大质量粒子(WIMP)湮灭率。给出了一个因式分解定理，它将初态势相互作用引起的辐射修正与涉及终态的回路分开。这种分离使我们可以超越被大的红外对数污染的固定顺序计算。对于SU(2)的伴随表示中的Majorana WIMP变换，我们用两个初态分波矩阵元素和一个硬匹配系数给出了在领先的双对数精度下的恢复速度的结果。对于给定的模型，可以通过寻找树级匹配系数和确定局部四费米子算符的值来计算横截面。对于20TeV的WIMP，恢复的效果可以高达100%。然而，对于与热遗迹场景相关的较轻的WIMP质量，前导对数恢复仅在10%的水平上修正了苏达科夫因子。此外，在给定相同大小的索末菲因子的情况下，辐射修正对半包含光子湮灭率的总影响被发现是百分比水平。讨论了形式主义对其他类型的WIMP的推广。
We develop a formalism that allows one to systematically calculate the weakly interacting massive particle (WIMP) annihilation rate into gamma rays whose energy far exceeds the weak scale. A factorization theorem is presented which separates the radiative corrections stemming from initial-state potential interactions from loops involving the final state. This separation allows us to go beyond the fixed order calculation, which is polluted by large infrared logarithms. For the case of Majorana WIMPs transforming in the adjoint representation of SU(2), we present the result for the resummed rate at leading double-log accuracy in terms of two initial-state partial-wave matrix elements and one hard matching coefficient. For a given model, one may calculate the cross section by finding the tree level matching coefficient and determining the value of a local four-fermion operator. The effects of resummation can be as large as 100% for a 20 TeV WIMP. However, for lighter WIMP masses relevant for the thermal relic scenario, leading-log resummation modifies the Sudakov factors only at the 10% level. Furthermore, given comparably sized Sommerfeld factors, the total effect of radiative corrections on the semi-inclusive photon annihilation rate is found to be percent level. The generalization of the formalism to other types of WIMPs is discussed.