$${\hbox {BHLS}}_2$$, a new breaking of the HLS model and its phenomenology

Benayoun, M.; DelBuono, L.; Jegerlehner, F.

doi:10.1140/epjc/s10052-020-7611-9

Cited by 19 publications

(25 citation statements)

References 113 publications

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“…We, nevertheless, recall that recent BESIII data [50] and evaluations within the Hidden Local Symmetry model [51][52][53][54] agree better with the KLOE data than with BaBar's. [5] and FNAL [4] with respect to the Muon − 2 Theory Initiative recommended value [6], the lattice QCD calculation from the BMW collaboration [11] and our results [19].…”

Section: Pos(charm2020)043mentioning

confidence: 62%

Isospin-breaking corrections to $\tau \to \pi \pi \nu_\tau$ decays and the muon $g-2$

Hernández¹,

Alejandro²

2021

Proceedings of 10th International Workshop on Charm Physics — PoS(CHARM2020)

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We review the isospin-breaking and electromagnetic corrections to the − → − 0 decays, which are used as an input to the two-pion contributions to the hadronic vacuum polarization (at LO) of the anomalous magnetic moment ( ). We extend previous analyses by Cirigliano et al. working with ChPT with resonances. As an outcome, we improve the agreement between this determination and the other based on + − data. The new results are in better agreement with an old estimation that uses Vector Dominance Model (VMD), and the discrepancy between the SM prediction and the combined results from BNL and FNAL is reduced to 2.1 at O ( 4 ) and 2.3 at O ( 6 ).

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Section: Pos(charm2020)043mentioning

confidence: 62%

Isospin-breaking corrections to $\tau \to \pi \pi \nu_\tau$ decays and the muon $g-2$

Hernández¹,

Alejandro²

2021

Proceedings of 10th International Workshop on Charm Physics — PoS(CHARM2020)

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“…After the work was completed a number of new publications become available [80][81][82][83][84][85][86]. They somewhat improve the situation on certain issues but do not affect the conclusions of the paper.…”

Section: Discussionmentioning

confidence: 99%

“…Still, new data-driven evaluations of the LO hVP contribution to a μ was presented in [80][81][82]. Two of them [80,81] utilize e + e − annihilation data only, while the other [82] uses also the τ -decay data. The consensus on use or non-use of τ data has not yet reached.…”

Section: Discussionmentioning

confidence: 99%

Hadronic vacuum-polarization contribution to various QED observables

Karshenboim

Shelyuto

2021

Eur. Phys. J. D

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Due to precision tests of quantum electrodynamics (QED), determination of accurate values of fundamental constants, and constraints on new physics, it is important in a consistent way to evaluate a number of QED observables such as the Lamb shift in hydrogen-like atomic systems. Even in a pure leptonic case, those QED variables are in fact not pure QED ones since hadronic effects are involved through intermediate states while accounting for higher-order effects. One of them is hadronic vacuum polarization (hVP). Complex evaluations often involve a number of QED quantities, for which treatment of hVP is not consistent. The highest accuracy for a calculation of the hVP term is required for the anomalous magnetic moment of a muon. However, a standard data-driven treatment of hVP, based on a dispersion integration of experimental data on electron-positron annihilation to hadrons and some other phenomena, leads to a contradiction with the experimental value of $$a_\mu $$ a μ . This experimental value can be considered as an indirect determination of the hVP contribution to $$a_\mu $$ a μ and the scatter of theory and experiment allows one to obtain a conservative estimation of the related hVP contribution. In this paper, we derive exact and approximate relations between the leading-order (LO) hVP contributions to various observables. Using those relations, we obtain for them a consistent set of the results, based on the scatter of $$a_\mu $$ a μ values. While calculating the LO hVP term, we have to remember that next-to-LO (NLO) hVP corrections are often comparable with the uncertainty of the LO term. Special attention is payed to hVP contribution to simple atoms. In particular, we discuss the NLO contribution to the Lamb shift in ordinary and muonic hydrogen and other two-body atoms for $$Z\le 10$$ Z ≤ 10 . We also consider the NLO contribution of the muonic vacuum polarization to the Lamb shift in hydrogen-like atoms. With the $$a_\mu $$ a μ puzzle unresolved, one may still require present-days values of the hVP contributions to various observable for comparison to experiment etc. the presence of contradicting values and a lack of consistency means an additional uncertainty for $$a_\mu $$ a μ and for key contributions to it, including the LO hVP one. We present here an estimation of such a propagated uncertainty in hVP contributions to different QED observables and recommend a consistent set of the related LO hVP contributions. Graphic Abstract

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“…The leading hadronic contribution, HVP, can be evaluated using e + e − → hadrons cross section data as input into a dispersion integral [24,25]. Among the most recent data compilations of HVP [26][27][28][29], [26,27] were performed following direct data-integration methods without additional model assumptions, where tensions between conflicting data sets are typically considered by a local error inflation. On the other hand, for low-multiplicity channels like 2π, a reconstruction of global fit functions from analyticity, unitarity, and low-energy theorems make it possible to confront the data with constraints from QCD.…”

Section: Introductionmentioning

confidence: 99%

Hadronic vacuum polarization: three-pion channel

2020

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The 3π-channel contribution to hadronic vacuum polarization (HVP) in the anomalous magnetic moment of the muon (g−2)µ is examined based on a dispersive representation of the γ* → 3π amplitude. This decay amplitude is reconstructed from dispersion relations, fulfilling the low-energy theorem of QCD. The global fit function is applied to the data sets of the 3π channel below 1.8 GeV, which constitutes the secondlargest exclusive contribution to HVP and its uncertainty. The dominant ωand φ-peak regions in the e+e− → 3π cross section as well as the non-resonant regions are precisely described to obtain our best estimate. The final result, $ a_\mu ^{3\pi }\left| { \le 1.8\,{\rm{GeV}}\,{\rm{ = }}\,{\rm{46}}{\rm{.2(6)(6)}} \times {\rm{1}}{{\rm{0}}^{ - 10}}} \right. $, reduces the model dependence owing to the fundamental principles of analyticity and unitarity and provides a cross check for the compatibility of the different e+e− → 3π data sets. A combination of the current analysis and the recent similar treatment of the 2π channel yields a dispersive determination of almost 80% of the entire HVP contribution. Our analysis reaffirms the muon anomaly at 3.4σ level, when the rest of the contributions is taken from the literature.

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$${\hbox {BHLS}}_2$$, a new breaking of the HLS model and its phenomenology

Cited by 19 publications

References 113 publications

Isospin-breaking corrections to $\tau \to \pi \pi \nu_\tau$ decays and the muon $g-2$

Isospin-breaking corrections to $\tau \to \pi \pi \nu_\tau$ decays and the muon $g-2$

Hadronic vacuum-polarization contribution to various QED observables

Hadronic vacuum polarization: three-pion channel

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