Pion Pole Contribution to Hadronic Light-By-Light Scattering and Muon Anomalous Magnetic Moment

Blokland, Ian; Czarnecki, Andrzej; Melnikov, Kirill

doi:10.1103/physrevlett.88.071803

Cited by 130 publications

(85 citation statements)

References 15 publications

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“…As a result, the discrepancy between the experiment and theory reduces down to the level of 1.6 σ. Subsequent publications have confirmed this finding [20,21,22]. In Table III we list the most recent evaluations of a had µ (l.b.l.).…”

Section: Allowed Parameter Range For Ma and Tan βsupporting

confidence: 67%

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Update on a very lightCP-odd scalar in the two-Higgs-doublet model

2002

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In a previous work we have shown that a general two-Higgs-doublet model (THDM) with a very light CP -odd scalar can be compatible with electroweak precision data, such as the ρ parameter,, and (g − 2) of muon. Prompted by the recent significant change in the theoretical status of the latter observable, we comment on the consequences for this model and update the allowed parameter region. It is found that the presence of a very light scalar with a mass of 0.2 GeV is still compatible with the new theoretical prediction of the muon anomalous magnetic moment.

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Section: Allowed Parameter Range For Ma and Tan βsupporting

confidence: 67%

“…× 10 11 KN [17] 83 (12) HK [20] 89 (15) BPP [21] 83 (32) BCM [22] 56 a a This value accounts only for the pion pole contribution. where the errors have been composed quadratically.…”

Section: Allowed Parameter Range For Ma and Tan βmentioning

confidence: 99%

Update on a very lightCP-odd scalar in the two-Higgs-doublet model

2002

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“…[32] investigation. [33,34,35,36,37] Unlike the lowestorder contribution, it can only be calculated from a model, and this contribution is likely to provide the ultimate limit to the precision of the standard-model value of a µ . One of the very useful roles the measurements of a µ have played in the past is placing serious restrictions on physics beyond the standard model.…”

Section: Introduction and Theory Of The Lepton Anomaliesmentioning

confidence: 99%

“…The standard model value of a µ has measurable contributions from three types of radiative processes: QED loops containing leptons (e, µ, τ ) and photons; [8] hadronic loops containing hadrons in vacuum polarization loops; [26,27,28,29,30,31,32,33,34,35,36,37] and weak loops involving the W and Z weak gauge bosons (the standard model Higgs contribution is negligible), [26] a µ (SM) = a µ (QED) + a µ (Had) + a µ (Weak). (4) A significant difference between the experimental value and the standard model prediction would signify the presence of new physics.…”

Section: Introduction and Theory Of The Lepton Anomaliesmentioning

confidence: 99%

Future Muon Dipole Moment Measurements

Roberts

2005

Nuclear Physics B - Proceedings Supplements

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From the famous experiments of Stern and Gerlach to the present, measurements of magnetic dipole moments, and searches for electric dipole moments of "elementary" particles have played a major role in our understanding of sub-atomic physics. In this talk I discuss the progress on measurements and theory of the magnetic dipole moment of the muon. I also discuss a new proposal to search for a permanent electric dipole moment (EDM) of the muon and put it into the more general context of other EDM searches. These experiments, along with searches for the lepton flavor violating decays µ → eγ and µ − + A → e − + A, provide a path to the high-energy frontier through precision measurements.

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“…The infinite series of narrow vector states known to show up in the large N c limit is then approximated by a suitable lowest meson dominance (LMD+V) Ansatz [81], assumed to be saturated by known low lying physical states of appropriate quantum numbers. This approach was adopted in a reanalysis by Knecht and Nyffeler (KN 2001) [82,83,84] in 2001, in which they discovered a sign mistake in the dominant π 0 , η, η exchange contribution, which changed the central value by +167 × 10 −11 , a 2.8 σ shift and which reduces a larger discrepancy between theory and experiment. More recently, Melnikov and Vainshtein (MV 2004) [85] found additional problems in previous calculations, this time in the short distance constraints (QCD/OPE) used in matching the high energy behavior of the effective models used for the π 0 , η, η exchange contribution.…”

Section: Hadronic Contributionsmentioning

confidence: 99%

The Muon g—: Status and Perspectives

Jegerlehner

Precision Physics of Simple Atoms and Molecules

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The muon anomalous magnetic moment is one of the most precisely measured quantities in particle physics. Recent high precision measurements (0.5ppm) at Brookhaven reveal a "discrepancy" by 3 standard deviations from the electroweak Standard Model which could be a hint for an unknown contribution from physics beyond the Standard Model. This triggered numerous speculations about the possible origin of the "missing piece". The remarkable 15-fold improvement of the previous CERN experiment, actually animated a multitude of new theoretical efforts which lead to a substantial improvement of the prediction of a µ . The dominating uncertainty of the prediction, caused by strong interaction effects, could be reduced substantially, due to new hadronic cross section measurements in electron-positron annihilation at low energies. After an introduction and a brief description of the principle of the experiment, I review the status of the theoretical prediction and discuss the role of the hadronic vacuum polarization effects and the hadronic light-by-light scattering contribution. Prospects for the future will be briefly discussed. As, in electroweak precision physics, the muon g − 2 shows the largest established deviation between theory and experiment at present, it will remain one of the hot topics also in future. Lepton magnetic momentsThe subject of our interest is the motion of a lepton in an external electromagnetic field under consideration of the full relativistic quantum behavior. The latter is controlled by the equations of motion of Quantum electrodynamics (QED), which describes the interaction of charged leptons ( = e, µ, τ ) with the photon (γ) as an Abelian U (1) em gauge theory. QED is a quantum field theory (QFT) which emerges as a synthesis of quantum mechanics with special relativity. In our case an external electromagnetic field is added, specifically a constant homogeneous magnetic field B. For slowly varying fields the motion is essentially determined by the generalized Pauli equation, which also serves

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Pion Pole Contribution to Hadronic Light-By-Light Scattering and Muon Anomalous Magnetic Moment

Cited by 130 publications

References 15 publications

Update on a very lightCP-odd scalar in the two-Higgs-doublet model

Update on a very lightCP-odd scalar in the two-Higgs-doublet model

Future Muon Dipole Moment Measurements

The Muon g—: Status and Perspectives

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