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Analytic results for planar three-loop integrals for massive form factors
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نویسنده
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Henn Johannes M. ,Smirnov Alexander V. ,Smirnov Vladimir A.
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منبع
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journal of high energy physics - 2016 - دوره : 2016 - شماره : 12 - صفحه:1 -16
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چکیده
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We use the method of differential equations to analytically evaluate all planar three-loop feynman integrals relevant for form factor calculations involving massive particles. our results for ninety master integrals at general q 2 are expressed in terms of multiple polylogarithms, and results for fiftyone master integrals at the threshold q 2 = 4m 2 are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.
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کلیدواژه
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Perturbative QCD ,Scattering Amplitudes
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آدرس
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Johannes Gutenberg Universität Mainz, Germany. Kavli Institute for Theoretical Physics, USA, Moscow State University, Russia, Skobeltsyn Institute of Nuclear Physics of Moscow State University, Russia. Karlsruhe Institute of Technology (KIT), Germany
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Authors
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