Detailed study of the $\mathrm{K^{\pm}} \rightarrow \pi^{0} \pi^{0} \mathrm{e^{\pm}} \nu$ ($\mathrm{K}_{\mathrm{e}4}^{00}$) decay properties - INSPIRE

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Detailed study of the $\mathrm{K^{\pm}} \rightarrow \pi^{0} \pi^{0} \mathrm{e^{\pm}} \nu$ ( $\mathrm{K}_{\mathrm{e}4}^{00}$ ) decay properties

NA48/2

Collaboration

•

J.R. Batley
(
- Cambridge U.
)

Jun 18, 2014

35 pages

Published in:

JHEP 08 (2014) 159

Published: 2014

e-Print:

1406.4749 [hep-ex]

DOI:

10.1007/JHEP08(2014)159

PDG:

{{\mathit K}^{+}}

\rightarrow

{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit e}^{+}}{{\mathit \nu}_{{{e}}}}

Report number:

CERN-PH-EP-2014-145

Experiments:

CERN-NA-048-2

View in:

reference search21 citations

Citations per year

Abstract: (arXiv)

A sample of 65210

\mathrm{K^{\pm}} \rightarrow \pi^{0} \pi^{0} \mathrm{e^{\pm}} \nu

(

\mathrm{K}_{\mathrm{e}4}^{00}

) decay candidates with

1\%

background contamination has been collected in 2003

-

2004 by the NA48/2 collaboration at the CERN SPS. A study of the differential rate provides the first measurement of the hadronic form factor variation in the plane

(M_{\pi\pi}^2,M_{e\nu}^2)

and brings evidence for a cusp-like structure in the distribution of the squared

\pi^{0} \pi^{0}

invariant mass around

4m_{\pi^+}^2

. Exploiting a model independent description of this form factor, the branching ratio, inclusive of radiative decays, is obtained using the

\mathrm{K^{\pm}} \rightarrow \pi^{0} \pi^{0} \pi^{\pm}

decay mode as normalization. It is measured to be BR(

\mathrm{K}_{\mathrm{e}4}^{00}

) =

(2.552 \pm 0.010_{stat} \pm 0.010_{syst} \pm 0.032_{ext} ) \times 10^{-5}

, which improves the current world average precision by an order of magnitude while the

1.4\%

relative precision is dominated by the external uncertainty from the normalization mode. A comparison with the properties of the corresponding mode involving a

\pi^{+} \pi^{-}

pair (

\mathrm{K}_{\mathrm{e}4}^{+-}

) is also presented.

Note:

28 pages, 12 figures, 7 tables, accepted by JHEP •
This study is dedicated to the memory of our colleague and fri end Spasimir Balev (1979–2013)

Rare decay
Branching fraction
Fixed target experiments
Flavor physics
form factor: hadronic
K: secondary beam
K: rare decay
K: semileptonic decay
mass spectrum: two-pion
mass spectrum: (electron neutrino)

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