48 research outputs found
Heavy mass expansion, light-by-light scattering and the anomalous magnetic moment of the muon
Contributions from light-by-light scattering to (g_\mu-2)/2, the anomalous
magnetic moment of the muon, are mediated by the exchange of charged fermions
or scalar bosons. Assuming large masses M for the virtual particles and
employing the technique of large mass expansion, analytical results are
obtained for virtual fermions and scalars in the form of a series in (m_\mu
/M)^2. This series is well convergent even for the case M=m_\mu. For virtual
fermions, the expansion confirms published analytical formulae. For virtual
scalars, the result can be used to evaluate the contribution from charged
pions. In this case our result confirms already available numerical
evaluations, however, it is significantly more precise.Comment: revtex4, eps figure
Hadronic Contributions to the Muon Anomaly in the Constituent Chiral Quark Model
The hadronic contributions to the anomalous magnetic moment of the muon which
are relevant for the confrontation between theory and experiment at the present
level of accuracy, are evaluated within the same framework: the constituent
chiral quark model. This includes the contributions from the dominant hadronic
vacuum polarization as well as from the next--to--leading order hadronic vacuum
polarization, the contributions from the hadronic light-by-light scattering,
and the contributions from the electroweak hadronic vertex.
They are all evaluated as a function of only one free parameter: the
constituent quark mass. We also comment on the comparison between our results
and other phenomenological evaluations.Comment: Several misprints corrected and a clarifying sentence added. Three
figures superposed and two references added. Version to appear in JHE
Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
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.Comment: 27 pages, Latex, 3 figures. v2: version to be published in Phys. Rev.
D, Note added and references updated (don't worry, sign has not changed
The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
QED, Hadronic, and Electroweak Standard Model contributions to the muon
anomalous magnetic moment, a_mu = (g_mu-2)/2, and their theoretical
uncertainties are scrutinized. The status and implications of the recently
reported 2.6 sigma experiment vs.theory deviation a_mu^{exp}-a_mu^{SM} =
426(165) times 10^{-11} are discussed. Possible explanations due to
supersymmetric loop effects with m_{SUSY} \simeq 55 sqrt{tan beta} GeV,
radiative mass mechanisms at the 1--2 TeV scale and other ``New Physics''
scenarios are examined.Comment: 24 page
The renormalization group inspired approaches and estimates of the tenth-order corrections to the muon anomaly in QED
We present the estimates of the five-loop QED corrections to the muon anomaly
using the scheme-invariant approaches and demonstrate that they are in good
agreement with the results of exact calculations of the corresponding
tenth-order diagrams supplemented by the additional guess about the values of
the non-calculated contributions.Comment: LATEX 15 pages, figures available upon request; preprint
CERN-TH.7518/9