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