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Structural Relations between Harmonic Sums up to w=6 · Around

2007

Structural Relations between Harmonic Sums up to w=6

Blümlein, Johannes, Klein, Sebastian

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Multiply nested finite harmonic sums $S_{a_1 ...

a_n}(N)$ occur in many single scale higher order calculations in Quantum Field Theory.
We discuss their algebraic and structural relations to weight {\sf w=6}.
As an example, we consider the application of these relations to the soft and virtual corrections for Bhabha-scattering to $O(\alpha^2)$.

Built on

E. B. Zijlstra and W. L. van Neerven, Nucl. Phys. B
1992
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J. Blümlein and S. Kurth, Phys. Rev. D
1999
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E. Remiddi and J. A. M. Vermaseren, Int. J. Mod. Phys. A
2000
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M. E. Hoffman, J. Algebraic Combin
2000
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S. I. Alekhin and J. Blümlein, Phys. Lett. B
2004
Earlier work this paper cites.

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Then

A. A. Penin, Phys. Rev. Lett
Original
2005
Later among the works it cites.
J. Blümlein and V. Ravindran, Nucl. Phys. B
2006
Later among the works it cites.
J. Blümlein, A. De Freitas, W. L. van Neerven and S. Klein, Nucl. Phys. B
2007
Closest in time.
J. A. M. Vermaseren, Int. J. Mod. Phys. A
2037
Closest in time.

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