Heavy-quark form factors in the large β0 limit

Andrey G. Grozin

doi:10.1140/epjc/s10052-017-5021-4

Heavy-quark form factors in the large β₀ limit

Andrey G. Grozin

Theoretical Physics Section

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Heavy-quark form factors are calculated at β₀α_s∼ 1 to all orders in α_s 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 language	English
Article number	453
Number of pages	9
Journal	European Physical Journal C
Volume	77
Issue number	7
DOIs	https://doi.org/10.1140/epjc/s10052-017-5021-4
Publication status	Published - 7 Jul 2017

Keywords

EXPANDING HYPERGEOMETRIC-FUNCTIONS
EXPANSION
2-LOOP
QCD

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