Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms

被引：89

作者：

Bourjaily, Jacob L. ^{[1
,2
]}

He, Yang-Hui ^{[3
,4
,5
]}

McLeod, Andrew J. ^{[1
,2
]}

von Hippel, Matt ^{[1
,2
]}

Wilhelm, Matthias ^{[1
,2
]}

机构：

[1] Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

[2] Univ Copenhagen, Niels Bohr Inst, Discovery Ctr, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

[3] Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China

[4] City Univ London, Dept Math, London EC1V 0HB, England

[5] Univ Oxford, Merton Coll, Oxford OX1 4JD, England

来源：

PHYSICAL REVIEW LETTERS | 2018年 / 121卷 / 07期

基金：

欧洲研究理事会; 英国科学技术设施理事会; 新加坡国家研究基金会;

关键词：

Quantum theory;

D O I：

10.1103/PhysRevLett.121.071603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a family of finite, four-dimensional, L-loop Feynman integrals that involve weight-(L thorn 1) hyperlogarithms integrated over (L - 1)-dimensional elliptically fibered varieties we conjecture to be Calabi-Yau manifolds. At three loops, we identify the relevant K3 explicitly and we provide strong evidence that the four-loop integral involves a Calabi-Yau threefold. These integrals are necessary for the representation of amplitudes in many theories-from massless f4 theory to integrable theories including maximally supersymmetric Yang-Mills theory in the planar limit-a fact we demonstrate.

引用

页数：6

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