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2014

Two-loop massive scalar three-point function in a dispersive approach

Pauk, Vladyslav, Vanderhaeghen, Marc

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We present a dispersion relation formalism to calculate a massive scalar two-loop vertex function.

Such calculation is of direct relevance in the evaluation of the hadronic light-by-light contribution to the muon's anomalous magnetic moment due to meson poles.
The discontinuity of the two-loop diagram is obtained by a sum of two- and three-particle cut contributions, which involve a phase space integration over the physical intermediate states.
The real part of the vertex function is subsequently reconstructed through evaluation of a dispersion integral.

Two-loop massive scalar three-point function in a dispersive approach · Around

Built on

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W. L. van Neerven, Nucl. Phys. B 268
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B. A. Kniehl and J. H. Kuhn, Phys. Lett. B 224
1989
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B. A. Kniehl, Nucl. Phys. B 347
1990
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V. Pauk and M. Vanderhaeghen, in preparation
Original
Cited in the paper.

Then

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A. Denner and S. Dittmaier, Nucl. Phys. B 8
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