2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS

BROADHURST DJ, BAIKOV PA, ILYIN VA, Fleischer J, TARASOV OV, SMIRNOV VA (1994)
PHYSICS LETTERS B 329(1): 103-110.

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Abstract
The coefficient functions of the gluon condensate [G2], in the correlators of heavy-quark vector, axial, scalar and pseudoscalar currents, are obtained analytically, to two loops, for all values of z = q2/4m2. In the limiting cases z --> 0, z --> 1, and z --> -infinity, comparisons are made with previous partial results. Approximation methods, based on these limiting cases, are critically assessed, with a view to three-loop work. High accuracy is achieved using a few moments as input. A single moment, combined with only the leading threshold and asymptotic behaviours, gives the two-loop corrections to better than 1% in the next 10 moments. A two-loop fit to vector data yields [alpha(s)/piG2] almost-equal-to 0.021 GeV4.
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BROADHURST DJ, BAIKOV PA, ILYIN VA, Fleischer J, TARASOV OV, SMIRNOV VA. 2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS. PHYSICS LETTERS B. 1994;329(1):103-110.
BROADHURST, D. J., BAIKOV, P. A., ILYIN, V. A., Fleischer, J., TARASOV, O. V., & SMIRNOV, V. A. (1994). 2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS. PHYSICS LETTERS B, 329(1), 103-110.
BROADHURST, D. J., BAIKOV, P. A., ILYIN, V. A., Fleischer, J., TARASOV, O. V., and SMIRNOV, V. A. (1994). 2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS. PHYSICS LETTERS B 329, 103-110.
BROADHURST, D.J., et al., 1994. 2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS. PHYSICS LETTERS B, 329(1), p 103-110.
D.J. BROADHURST, et al., “2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS”, PHYSICS LETTERS B, vol. 329, 1994, pp. 103-110.
BROADHURST, D.J., BAIKOV, P.A., ILYIN, V.A., Fleischer, J., TARASOV, O.V., SMIRNOV, V.A.: 2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS. PHYSICS LETTERS B. 329, 103-110 (1994).
BROADHURST, DJ, BAIKOV, PA, ILYIN, VA, Fleischer, Jochem, TARASOV, OV, and SMIRNOV, VA. “2-LOOP GLUON-CONDENSATE CONTRIBUTIONS TO HEAVY-QUARK CURRENT CORRELATORS - EXACT RESULTS AND APPROXIMATIONS”. PHYSICS LETTERS B 329.1 (1994): 103-110.
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