Self-consistent statistical error analysis of $\pi\pi$ scattering - INSPIRE

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Self-consistent statistical error analysis of $\pi\pi$ scattering

R. Navarro Pérez
(
- Granada U.
)
,
E. Ruiz Arriola
(
- Granada U.
)
,
J. Ruiz de Elvira
(
- Bonn U., HISKP and
- Bonn U.
)

Feb 11, 2015

18 pages

Published in:

Phys.Rev.D 91 (2015) 074014

Published: Apr 8, 2015

e-Print:

1502.03361 [hep-ph]

DOI:

10.1103/PhysRevD.91.074014

View in:

ADS Abstract Service

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Abstract: (APS)

We analyze the conditions under which a statistical error analysis can be carried out in the case of ππ scattering, namely the normality of residuals in the conventional χ2-fit method. Here we check that the current and benchmarking analyses only present very small violations of the normality requirements. In particular, we show how it is possible to slightly amend the selection of the experimental data, and improve the normality of residuals. As an example, we discuss the 0++ channel and the implications for the f0(500) and f0(980) resonances, finding that the new selection of data provides very similar and compatible results. In addition, the effect on the f0(500) and f0(980) resonance pole parameters is almost negligible, which reinforces the central results and the uncertainty analysis performed in these benchmarking determinations.

Note:

17 pg, 22 figures

12.39.Fe
14.20.Dh
12.38.Gc
error: statistical
resonance: pole
pi pi: scattering
data analysis method
statistical analysis
f0(600)
f0(980)

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Figures(19)

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