https://doi.org/10.1140/epjc/s10052-020-7611-9
Regular Article - Theoretical Physics
, a new breaking of the HLS model and its phenomenology
1 LPNHE des Universités Paris VI et Paris VII, IN2P3/CNRS, 75252, Paris, France
2 Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489, Berlin, Germany
3 Deutsches Elektronen-Synchrotron (DESY), Platanenallee 6, 15738, Zeuthen, Germany
Received:
29
April
2019
Accepted:
6
January
2020
Published online: 1 February 2020
Previous studies have shown that the Hidden Local Symmetry (HLS) Model, supplied with appropriate symmetry breaking mechanisms, provides an Effective Lagrangian (BHLS) able to encompass a large number of processes within a unified framework. This allowed one to design a global fit procedure which provides a fair simultaneous description of the 
annihilation into six final states (
, 
, 
, 
, 
, 
), the dipion spectrum in the 
decay and some more light meson decay partial widths. In this paper, additional breaking schemes are defined which improve the BHLS working and extend its scope so as to absorb spacelike processes within a new framework (). The phenomenology previously explored with BHLS is fully revisited in the context with special emphasis on the 
mass region using all available data samples. It is shown that addresses perfectly the close spacelike region covered by NA7 and Fermilab data; it is also shown that the recent lattice QCD (LQCD) information on the pion form factor are accurately predicted by the fit functions derived from fits to only annihilation data. The contribution to the muon anomalous magnetic moment 
of these annihilation channels over the range of validity of (up to 
1.05 GeV) is updated within the new framework and shown to strongly reduce the former BHLS systematics. The uncertainty on 
) is much improved compared to standard approaches relying on direct integration methods of measured spectra. Using the results, the leading-order HVP contribution to the muon anomalous moment is 
in units of 
. Using a conservative estimate for the light-by-light contribution, our evaluation for the muon anomalous magnetic moment is 
. The relationship between the dispersive and LQCD approaches to the 
–
mixing is also discussed which may amount to a shift of 
at LO+NLO, presently treated as additional systematics. Taking also this shift into account, the difference 
exhibits a significance not smaller than 
.
© The Author(s) 2020. corrected publication 2020
Open Access
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