arXiv 2008.122932020-08-27hep-phhep-th

电子正电子湮没中离壳层多光子产生的局域有限双环振幅

Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation

Charalampos Anastasiou, Rayan Haindl, George Sterman, Zhou Yang, Mao Zeng

备注：: 89 pages, 20 figures
发表信息：: JHEP 04 (2021) 222
DOI：: 10.1007/JHEP04(2021)222

摘要：

我们研究了无质量电子正电子湮没中产生多个离壳层光子的双圈QED振幅的奇异性结构，并发展了在圈被积函数中逐点消除其红外和紫外发散的反项.减法的导数在四维中是可积的，并且可以在将来用数值积分来计算。反项捕捉振幅的发散，并分解为玻恩振幅和单圈振幅的有限余项。它们由简单的一个和两个循环积分，最多有三个外部动量，可以集成在一个简单的方式与既定的方法分析。我们发现新的方面完全本地IR因式分解，其中顶点和自能子图必须修改新的对称化循环动量，以暴露其树状张量结构，因此因式分解的IR奇点之前，循环积分。这项工作是第一步，对本地隔离的通用规范理论振幅的硬贡献，并使他们在精确的四维数值方法可积。

英文摘要：

We study the singularity structure of two-loop QED amplitudes for the production of multiple off-shell photons in massless electron-positron annihilation and develop counterterms that remove their infrared and ultraviolet divergences point by point in the loop integrand. The remainders of the subtraction are integrable in four dimensions and can be computed in the future with numerical integration. The counterterms capture the divergences of the amplitudes and factorize in terms of the Born amplitude and the finite remainder of the one-loop amplitude. They consist of simple one- and two-loop integrals with at most three external momenta and can be integrated analytically in a simple manner with established methods. We uncover novel aspects of fully local IR factorization, where vertex and self-energy subdiagrams must be modified by new symmetrizations over loop momenta, in order to expose their tree-like tensor structures and hence factorization of IR singularities prior to loop integration. This work is a first step towards isolating locally the hard contributions of generic gauge theory amplitudes and rendering them integrable in exactly four dimensions with numerical methods.

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