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.
%0 Journal Article
%1 Knecht2002Hadronic
%A Knecht, Marc
%A Nyffeler, Andreas
%D 2002
%J Physical Review D
%K g-2, lbl
%N 7
%R 10.1103/physrevd.65.073034
%T Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
%U http://dx.doi.org/10.1103/physrevd.65.073034
%V 65
%X 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.
@article{Knecht2002Hadronic,
abstract = {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.},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Knecht, Marc and Nyffeler, Andreas},
biburl = {https://www.bibsonomy.org/bibtex/22d91bcfae40cba967774a4eea38541ab/cmcneile},
citeulike-article-id = {12391058},
citeulike-linkout-0 = {http://arxiv.org/abs/hep-ph/0111058},
citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ph/0111058},
citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevd.65.073034},
day = 18,
doi = {10.1103/physrevd.65.073034},
eprint = {hep-ph/0111058},
interhash = {fe3b3ef8dd55c810953d04465b1ce53d},
intrahash = {2d91bcfae40cba967774a4eea38541ab},
issn = {0556-2821},
journal = {Physical Review D},
keywords = {g-2, lbl},
month = feb,
number = 7,
posted-at = {2013-06-04 16:12:39},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution}},
url = {http://dx.doi.org/10.1103/physrevd.65.073034},
volume = 65,
year = 2002
}