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Heavy-quark form factors in the large β0 limit. / Grozin, Andrey G.

In: European Physical Journal C, Vol. 77, No. 7, 453, 07.07.2017.

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Grozin AG. Heavy-quark form factors in the large β0 limit. European Physical Journal C. 2017 Jul 7;77(7):453. doi: 10.1140/epjc/s10052-017-5021-4

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Grozin, Andrey G. / Heavy-quark form factors in the large β0 limit. In: European Physical Journal C. 2017 ; Vol. 77, No. 7.

BibTeX

@article{0417910ad8e0457f91c7601857488511,
title = "Heavy-quark form factors in the large β0 limit",
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.",
keywords = "EXPANDING HYPERGEOMETRIC-FUNCTIONS, EXPANSION, 2-LOOP, QCD",
author = "Grozin, {Andrey G.}",
year = "2017",
month = jul,
day = "7",
doi = "10.1140/epjc/s10052-017-5021-4",
language = "English",
volume = "77",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer Nature",
number = "7",

}

RIS

TY - JOUR

T1 - Heavy-quark form factors in the large β0 limit

AU - Grozin, Andrey G.

PY - 2017/7/7

Y1 - 2017/7/7

N2 - 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.

AB - 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.

KW - EXPANDING HYPERGEOMETRIC-FUNCTIONS

KW - EXPANSION

KW - 2-LOOP

KW - QCD

UR - http://www.scopus.com/inward/record.url?scp=85022070531&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-017-5021-4

DO - 10.1140/epjc/s10052-017-5021-4

M3 - Article

AN - SCOPUS:85022070531

VL - 77

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 7

M1 - 453

ER -

ID: 10092591