Details

Autor(en) / Beteiligte

• Bourjaily, Jacob L
• He, Yang-Hui
• McLeod, Andrew J
• von Hippel, Matt
• Wilhelm, Matthias

Titel

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

Ist Teil von

• Physical review letters, 2018-08, Vol.121 (7), p.071603-071603, Article 071603

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2018

Quelle

PROLA

Beschreibungen/Notizen

• We describe a family of finite, four-dimensional, L-loop Feynman integrals that involve weight-(L+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 φ^{4} theory to integrable theories including maximally supersymmetric Yang-Mills theory in the planar limit-a fact we demonstrate.