Irrational constants in positronium decays

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Presented at 9th Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Sondershausen, 20-25 Apr 2008

Scientific paper

10.1016/j.nuclphysbps.2008.09.07

We establish irrational constants, that contribute to the positronium
lifetime at $O(\alpha)$ and $O(\alpha^2)$ order. In particular we show, that a
new type of constants appear, which are not related to Euler--Zagier sums or
multiple $\zeta$ values.

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