scholarly journals Pion mass dependence of the HVP contribution to muon g – 2

2018 ◽  
Vol 175 ◽  
pp. 06010
Author(s):  
Maarten Golterman ◽  
Kim Maltman ◽  
Santiago Peris
Keyword(s):  
Perturbation Theory ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Pion Mass ◽  
Systematic Errors ◽  
Mass Dependence ◽  
Chiral Perturbation ◽  
Muon Anomalous Magnetic Moment ◽  
Chiral Extrapolation ◽  
Pion Mass Dependence

One of the systematic errors in some of the current lattice computations of the HVP contribution to the muon anomalous magnetic moment g – 2 is that associated with the extrapolation to the physical pion mass. We investigate this extrapolation assuming lattice pion masses in the range of 220 to 440 MeV with the help of two-loop chiral perturbation theory, and find that such an extrapolation is unlikely to lead to control of this systematic error at the 1% level. This remains true even if various proposed tricks to improve the chiral extrapolation are taken into account.

scholarly journals CHIRAL LAGRANGIANS

2002 ◽  
Vol 17 (23) ◽  
pp. 3154-3169
Author(s):  
JOHAN BIJNENS
Keyword(s):  
Perturbation Theory ◽  
Chiral Lagrangians ◽  
Chiral Perturbation Theory ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Chiral Perturbation ◽  
Muon Anomalous Magnetic Moment

An overview of the field of Chiral Lagrangians is given. This includes Chiral Perturbation Theory and resummations to extend it to higher energies, applications to the muon anomalous magnetic moment, ∊′/∊ and others.

scholarly journals Stochastic computation of g − 2 in QED

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ryuichiro Kitano ◽  
Hiromasa Takaura ◽  
Shoji Hashimoto
Keyword(s):  
Perturbation Theory ◽  
Numerical Computation ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Stochastic Perturbation ◽  
Higher Order ◽  
Feynman Diagrams ◽  
Perturbative Series ◽  
Physical Quantities

Abstract We perform a numerical computation of the anomalous magnetic moment (g − 2) of the electron in QED by using the stochastic perturbation theory. Formulating QED on the lattice, we develop a method to calculate the coefficients of the perturbative series of g − 2 without the use of the Feynman diagrams. We demonstrate the feasibility of the method by performing a computation up to the α3 order and compare with the known results. This program provides us with a totally independent check of the results obtained by the Feynman diagrams and will be useful for the estimations of not-yet-calculated higher order values. This work provides an example of the application of the numerical stochastic perturbation theory to physical quantities, for which the external states have to be taken on-shell.

scholarly journals Dark matter, muon anomalous magnetic moment, and the XENON1T excess

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Debajyoti Choudhury ◽  
Suvam Maharana ◽  
Vandana Sahdev ◽  
Divya Sachdeva
Keyword(s):  
Dark Matter ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Muon Anomalous Magnetic Moment

scholarly journals Muon anomalous magnetic moment in a calculable model with one extra dimension

2002 ◽  
Vol 634 (1-2) ◽  
pp. 230-246 ◽  
Author(s):  
Giacomo Cacciapaglia ◽  
Marco Cirelli ◽  
Giampaolo Cristadoro
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Extra Dimension ◽  
Muon Anomalous Magnetic Moment

scholarly journals Probing the dark axion portal with muon anomalous magnetic moment

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Shao-Feng Ge ◽  
Xiao-Dong Ma ◽  
Pedro Pasquini
Keyword(s):  
Parameter Space ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Muon Anomalous Magnetic Moment ◽  
Negative Contribution ◽  
Dark Photon ◽  
Loop Level

AbstractWe propose a new scenario of using the dark axion portal at one-loop level to explain the recently observed muon anomalous magnetic moment by the Fermilab Muon g-2 experiment. Both axion/axion-like particle (ALP) and dark photon are involved in the same vertex with photon. Although ALP or dark photon alone cannot explain muon $$g-2$$ g - 2 , since the former provides only negative contribution while the latter has very much constrained parameter space, dark axion portal can save the situation and significantly extend the allowed parameter space. The observed muon anomalous magnetic moment provides a robust probe of the dark axion portal scenario.

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