Hadronic light by light corrections to the muon g-2: The Pion pole contribution

By M. Knecht, A. Nyffeler. 2001

281 citations recorded by the source corpus.

The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the pi0 - gamma* - gamma* transition form factor based on the large-Nc and short-distance properties of QCD. The resulting two-loop integrals are treated by first performing the angular integration analytically, using the method of Gegenbauer polynomials, followed by a numerical evaluation of the remaining two-dimensional integration over the moduli of the Euclidean loop momenta. The value obtained, a_{mu}(LbyL;pi0) = +5.8 (1.0) x 10^{-10}, disagrees with other recent calculations. In the case of the vector meson dominance form factor, the result obtained by following the same procedure reads a_{mu}(LbyL;pi0)_{VMD} = +5.6 x 10^{-10}, and differs only by its overall sign from the value obtained by previous authors. Inclusion of the eta and eta-prime poles gives a total value a_{mu}(LbyL;PS) = +8.3 (1.2) x 10^{-10} for the three pseudoscalar states. This result substantially reduces the difference between the experimental value of a_{mu} and its theoretical counterpart in the standard model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f4ec52073907f7f9d646866920b10603a6e547c1

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In Nuclear and High Energy Physics

1. M. Hoferichter
2. B. Kubis
3. P. Stoffer
4. Bai-Long Hoid
5. M. Procura
6. D. Stockinger
7. X. Tata
8. G. Colangelo

Citations in the corpus

• Dispersion relation for hadronic light-by-light scattering: pion pole (2018, methodology): “In [39] it was established that the T2 term remains finite even for a pointlike form factor, so that the corresponding integral cannot contribute to any singularities.”
• Updated Constraints on the Minimal Supergravity Model (2002, background): “[41] has since been tempered somewhat by correcting the sign of the SM light-by-light contribution to aμ [42].”
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment (2019, unknown): “Perturbative short-distance constraints have been used in constraining individual contributions starting in [8, 12] as well as some matching with the quark loop [8].”