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Bhabha Scattering and a special pencil of K3 surfaces

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 نشر من قبل Dino Festi
 تاريخ النشر 2018
  مجال البحث
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We study a pencil of K3 surfaces that appeared in the $2$-loop diagrams in Bhabha scattering. By analysing in detail the Picard lattice of the general and special members of the pencil, we identify the pencil with the celebrated Apery--Fermi pencil, that was related to Aperys proof of the irrationality of $zeta(3)$ through the work of F. Beukers, C. Peters and J. Stienstra. The same pencil appears miraculously in different and seemingly unrelated physical contexts.

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