Tekhnologii adaptivnogo testirovaniia: osobennosti i preimushchestva, razrabotka tipovogo algoritma

Ларин, С. Н.; Baranov, Evgenii Fedorovich; Larina, Tatiana

doi:10.21661/r-472915

Cited by 1 publication

(2 citation statements)

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“…We will use the chiral treelevel prediction (3.2) including the quark-mass renormalization of F π , together with its 1.4% uncertainty, as the central value and uncertainty estimate for the normalization of the TFF. The updated PrimEx-II experiment is expected to achieve a precision of 0.85% [110,111], so that, very likely, the dominant source of uncertainty might soon be of systematic nature in understanding the emerging tension with the chiral 2-loop prediction [109].…”

Section: Definition and Low-energy Propertiesmentioning

confidence: 99%

“…The decomposition (6.9) further suggests opportunities for future cross checks and improvements. First, the PrimEx-II measurement is expected to reduce the uncertainty in F πγγ to 0.85% [110,111], which translates to normalization and total uncertainties of 1.0 and +2.7 −2.1 × 10 −11 in a µ , respectively. Next, the dispersive uncertainties in particular in the low-energy space-like TFF could be cross-checked and potentially improved by upcoming data from BESIII [174], while the F 3π low-energy theorem, used to normalize a(q 2 ) in (3.19), is currently under study at COMPASS [175].…”

Section: Consequences For a µmentioning

confidence: 99%

See 1 more Smart Citation

Dispersion relation for hadronic light-by-light scattering: pion pole

Hoferichter¹,

Hoid²,

Kubis³

et al. 2018

J. High Energ. Phys.

373

223

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The pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon (g − 2) µ is fully determined by the doubly-virtual pion transition form factor. Although this crucial input quantity is, in principle, directly accessible in experiment, a complete measurement covering all kinematic regions relevant for (g − 2) µ is not realistic in the foreseeable future. Here, we report in detail on a reconstruction from available data, both space-and time-like, using a dispersive representation that accounts for all the low-lying singularities, reproduces the correct high-and low-energy limits, and proves convenient for the evaluation of the (g − 2) µ loop integral. We concentrate on the systematics of the fit to e + e − → 3π data, which are key in constraining the isoscalar dependence, as well as the matching to the asymptotic limits. In particular, we provide a detailed account of the pion transition form factor at low energies in the time-and space-like region, including the error estimates underlying our final result for the pion-pole contribution, a π 0 -pole µ = 62.6 +3.0 −2.5 × 10 −11 , and demonstrate how forthcoming singly-virtual measurements will further reduce its uncertainty.

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Section: Definition and Low-energy Propertiesmentioning

confidence: 99%