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We study a pencil of K3 surfaces that appeared in the $2$-loop diagrams in Bhabha scattering.
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1936
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2000
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A. Verrill, The L-series of certain rigid Calabi-Yau Threefolds
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W. Barth, C. Peters, K. Hulek, A. van de Ven, Compact Complex Surfaces
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R. Bonciani, A. Ferroglia, M. Mastrolia, E. Remiddi, J. van der Bij, Planar box diagram for the ( N ( F ) = 1 ) (N(F)=1) two loop QED virtual corrections to Bhabha scattering
2004
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R. Bonciani, A. Ferroglia, M. Mastrolia, E. Remiddi, J. van der Bij, Two-loop N ( F ) = 1 N(F)=1 QED Bhabha scattering differential cross section
J. Henn, V. Smirnov, Analytic results for the two-loop master integrals for Bhabha scattering I
2013
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I. Shimada, An algorithm to compute automorphism groups of K 3 K3 surfaces and an application to singular K 3 K3 surfaces
2015
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S. Bloch, M. Kerr, P. Vanhove, Local mirror symmetry and the sunset Feynman integral
2016
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D. Festi, Topics in the arithmetic of del Pezzo and K3 surfaces
2016
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D. Huybrechts, Lectures on K3 surfaces
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M. Bertin, O. Lecacheux, Apéry-Fermi pencil of K 3 K3 -surfaces and their 2 2 -isogenies
2018
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2004
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E. Dardanelli, B. van Geemen, Hessians and the moduli space of cubic surfaces
2007
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M. Schütt, K3 surfaces with Picard rank 20
2010
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J. Borwein, A. Straub and J. Wan, Three-Step and Four-Step Random Walk Integrals
2013
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J. Broedel, C. Duhr, F. Dulat, B. Penante and L. Tancredi, Elliptic polylogarithms and Bhabha scattering at two loops
Cited in the paper.
I. Shimada, The automorphism groups of certain singular K3 surfaces and an Enriques surface
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P. Vanhove, Feynman integrals, toric geometry and mirror symmetry
Cited in the paper.
M. Besier, D. van Straten, S. Weinzierl, Rationalizing roots: an algorithmic approach
2018
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D. Festi, D. van Straten, Accompanying MAGMA
2018
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J. Stienstra, private communication
2018
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