2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION

BROADHURST DJ, Fleischer J, TARASOV OV (1993)
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS 60(2): 287-301.

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In all mass cases needed for quark and gluon self-energies, the two-loop master diagram is expanded at large and small q2, in d dimensions, using identities derived from integration by parts. Expansions are given, in terms of hypergeometric series, for all gluon diagrams and for all but one of the quark diagrams; expansions of the latter are obtained from differential equations. Pade approximants to truncations of the expansions are shown to be of great utility. As an application, we obtain the two-loop photon self-energy, for all d, and achieve highly accelerated convergence of its expansions in powers of q2/m2 or m2/q2, for d=4.
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BROADHURST DJ, Fleischer J, TARASOV OV. 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS. 1993;60(2):287-301.
BROADHURST, D. J., Fleischer, J., & TARASOV, O. V. (1993). 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 60(2), 287-301.
BROADHURST, D. J., Fleischer, J., and TARASOV, O. V. (1993). 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS 60, 287-301.
BROADHURST, D.J., Fleischer, J., & TARASOV, O.V., 1993. 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 60(2), p 287-301.
D.J. BROADHURST, J. Fleischer, and O.V. TARASOV, “2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION”, ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, vol. 60, 1993, pp. 287-301.
BROADHURST, D.J., Fleischer, J., TARASOV, O.V.: 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS. 60, 287-301 (1993).
BROADHURST, DJ, Fleischer, Jochem, and TARASOV, OV. “2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION”. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS 60.2 (1993): 287-301.
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