Heavy-quark form factors in the large β0 limit

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7 Citations (Scopus)

Abstract

Heavy-quark form factors are calculated at β0αs∼ 1 to all orders in αs at the first order in 1 / β0. Using the inversion relation generalized to vertex functions, we reduce the massive on-shell Feynman integral to the HQET one. This HQET vertex integral can be expressed via a 2F1 function; the nth term of its ε expansion is explicitly known. We confirm existing results for nlL-1αsL terms in the form factors (up to L= 3), and we present results for higher L.

Original languageEnglish
Article number453
Number of pages9
JournalEuropean Physical Journal C
Volume77
Issue number7
DOIs
Publication statusPublished - 7 Jul 2017

Keywords

  • EXPANDING HYPERGEOMETRIC-FUNCTIONS
  • EXPANSION
  • 2-LOOP
  • QCD

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