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arXiv 0904.2665hep-ph
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深度非弹性散射中(2+1)喷流产生的双环QCD螺旋度振幅

Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering

T. Gehrmann, E. W. N. Glover

摘要:

我们导出了在轻子核子深度非弹性散射中产生$(2+1)$ -喷流终态的部分子反应$l q \to l qg$($l \bar q \to l \bar q g$)和$l g \to l q\bar q$的双圈QCD螺旋度振幅。通过对$e^+e^- \to q\bar q g$的已知螺旋度振幅进行解析延拓得到振幅。我们使用Catani红外分解公式分离了红外发散和有限部分的振幅。振幅的有限部分的解析结果表示在一维和二维谐波多项式。为了数值计算这些函数,我们详细列出了需要执行的非平凡(和运动区域相关)变量变换。

英文摘要:

We derive the two-loop QCD helicity amplitudes for the processes $l q \to l qg$ ($l \bar q \to l \bar q g$) and $l g \to l q\bar q$, which are the partonic reactions yielding $(2+1)$-jet final states in deep inelastic lepton nucleon scattering. The amplitudes are obtained by analytic continuation of the known helicity amplitudes for $e^+e^- \to q\bar q g$. We separate the infrared divergent and finite parts of the amplitudes using Catani's infrared factorization formula. The analytic results for the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms. To evaluate these functions numerically, we list in detail the non-trivial (and kinematic region dependent) variable transformations one needs to perform.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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