Gs. Adkins, ANALYTIC EVALUATION OF THE ORTHOPOSITRONIUM-TO-3-PHOTON DECAY AMPLITUDES TO ONE-LOOP ORDER, Physical review letters, 76(26), 1996, pp. 4903-4906
The three independent amplitudes describing the decay of orthopositron
ium to three photons are evaluated in analytic form to one-loop order.
The amplitudes are used to obtain the order-alpha and order-(2) ''squ
are'' contributions to the orthopositronium decay rate as integrals ov
er the two-dimensional phase space. The results for the decay rate con
tributions are Gamma(1) = -10.286 606(10) (alpha/pi)Gamma(LO) and Gamm
a(2)(square) = 28.860(2) (alpha/pi)(2) Gamma(LO), where Gamma(LO) is t
he lowest order rate.