Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel

被引:17
|
作者
Badger, Simon [1 ,2 ,3 ]
Chaubey, Ekta [1 ,2 ,3 ]
Hartanto, Heribertus Bayu [4 ]
Marzucca, Robin [5 ]
机构
[1] Univ Torino, Dipartimento Fis, Via P Giuria 1, I-10125 Turin, Italy
[2] Univ Torino, Arnold Regge Ctr, Via P Giuria 1, I-10125 Turin, Italy
[3] INFN, Sez Torino, Via P Giuria 1, I-10125 Turin, Italy
[4] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
[5] Univ Durham, Dept Phys, Inst Particle Phys Phenomenol, Durham DH1 3LE, England
关键词
Perturbative QCD; Scattering Amplitudes; DIFFERENTIAL-EQUATIONS; FEYNMAN-INTEGRALS; NUMERICAL EVALUATION; SINGULAR BEHAVIOR; CROSS-SECTION; FORM;
D O I
10.1007/JHEP06(2021)163
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves. We present the results of the missing master integrals needed to compute the amplitude and obtain an analytic form for the finite remainders in terms of iterated integrals using rationalised kinematics and finite field sampling. We also study the numerical evaluation of the iterated integrals.
引用
收藏
页数:38
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