A sample of 1.69 × 10 7 fully reconstructed π 0 → γ e + e − decay candidates collected by the NA48/2 experiment at CERN in 2003-2004 is analyzed to search for the dark photon (A) production in the π 0 → γ A decay followed by the prompt A → e + e − decay. No signal is observed, and an exclusion region in the plane of the dark photon mass m A and mixing parameter ε 2 is established. The obtained upper limits on ε 2 are more stringent than the previous limits in the mass range 9 MeV/c 2 < m A < 70 MeV/c 2. The NA48/2 sensitivity to the dark photon production in the K ± → π ± A decay is also evaluated. 0. Introduction Kaons are a source of tagged neutral pion decays, and high intensity kaon experiments provide opportunities for precision π 0 decay measurements. The NA48/2 experiment at the CERN SPS collected a large sample of charged kaon (K ±) decays in flight, corresponding to about 2 × 10 11 K ± decays in the fiducial decay volume. This letter reports the search for a hypothetical dark pho-ton (DP, denoted A) using a large sample of tagged π 0 mesons from identified K ± → π ± π 0 and K ± → π 0 μ ± ν decays. In a rather general set of hidden sector models with an extra U (1) gauge symmetry [1], the interaction of the DP with the visible sector proceeds through kinetic mixing with the Standard Model (SM) hypercharge. Such scenarios with GeV-scale dark matter provide possible explanations to the observed rise in the cosmic-ray positron fraction with energy and the muon gyromag-netic ratio (g − 2) measurement [2]. The DP is characterized by two a priori unknown parameters, the mass m A and the mixing parameter ε 2. Its possible production in the π 0 decay and its subsequent decay proceed via the chain π 0 → γ A , A → e + e −. The expected branching fraction of the above π 0 decay is [3] B(π 0 → γ A) = 2ε 2 1 − m 2 A m 2 π 0 3 B(π 0 → γ γ), (1) which is kinematically suppressed as m A approaches m π 0. In the DP mass range 2m e < m A < m π 0 accessible in pion decays, the only allowed tree-level decay into SM fermions is A → e + e − , while the loop-induced SM decays (A → 3γ , A → ν ¯ ν) are highly suppressed. Therefore, for a DP decaying only into SM particles, B(A → e + e −) ≈ 1, and the expected total decay width is [3] A ≈ (A → e + e −) = 1 3 αε 2 m A 1 − 4m 2 e m 2 A 1 + 2m 2 e m 2 A. (2) It follows that, for 2m e m A < m π 0 , the DP mean proper lifetime τ A satisfies the relation cτ A = ¯ hc/ / A ≈ 0.8 μm × 10 −6 ε 2 × 100 MeV/c 2 m A. (3) This analysis is performed assuming that the DP decays at the production point (prompt decay), which is valid for sufficiently large values of m A and ε 2 , as quantified in Section 5. In this case, the DP production and decay signature is identical to that of the Dalitz decay π 0 D → e + e − γ , which therefore represents an irreducible but well controlled background and determines the sensitivity. The NA48/2 experiment provides pure π 0 D decay samples through the reconstruction of K ± → π ± π 0 and K ± → π 0 μ ± ν decays (denoted K 2π and K μ3). Additionally, the K ± → π ±...

We report results from the analysis of the K ± → π + π − e ± ν (K e4 ) decay by the NA48/2 collaboration at the CERN SPS, based on the total statistics of 1.13 million decays collected in [2003][2004]. The hadronic form factors in the S-and P-wave and their variation with energy are obtained. The phase difference between the S-and P-wave states of the ππ system is accurately measured and allows a precise determination of a 0 0 and a 2 0 , the I = 0 and I = 2 S-wave ππ scattering lengths: a 0 0 = 0.2220 ± 0.0128 stat ± 0.0050 syst ± 0.0037 th , a 2 0 = −0.0432 ± 0.0086 stat ± 0.0034 syst ± 0.0028 th . Combination of this result with the other NA48/2 measurement obtained in the study of K ± → π 0 π 0 π ± decays brings an improved determination of a 0 0 and the first precise experimental measurement of a 2 0 , providing a stringent test of Chiral Perturbation Theory predictions and lattice QCD calculations. Using constraints based on analyticity and chiral symmetry, even more precise values are obtained: a 0 0 = 0.2196 ± 0.0028 stat ± 0.0020 syst and a 2 0 = −0.0444 ± 0.0007 stat ± 0.0005 syst ± 0.0008 ChPT .

The direct CP violation parameter Re(epsilon'/epsilon) has been measured from the decay rates of neutral kaons into two pions using the NA48 detector at the CERN SPS. The 2001 running period was devoted to collecting additional data under varied conditions compared to earlier years (1997-1999). The new data yield the result: Re(epsilon'/epsilon) = (13.7 +/- 3.1) x 10(-4). Combining this result with that published from the 1997, 98 and 99 data, an overall value of Re(epsilon'/epsilon) = (14.7 +/- 2.2) x 10(-4) is obtained from the NA48 experiment. (C) 2002 Elsevier Science B.V. All rights reserved

0370-2693r99r$ -see front matter q 1999 Elsevier Science B.V. All rights reserved.Ž . PII: S 0 3 7 0 -2 6 9 3 9 9 0 1 0 3 0 -8 ( ) V. Fanti et al.r Physics Letters B 465 1999 335-348 336 A.

412The NA48/2 Collaboration: K e4 decay form factors and ππ scattering phase shifts Abstract. We report results from a new measurement of the K e4 decay K ± → π + π − e ± ν by the NA48/2 collaboration at the CERN SPS, based on a partial sample of more than 670 000 K e4 decays in both charged modes collected in 2003. The form factors of the hadronic current (F, G, H) and ππ phase difference (δ = δs − δp) have been measured in ten independent bins of the ππ mass spectrum to investigate their variation. A sizeable acceptance at large ππ mass, a low background and a very good resolution contribute to an improved experimental accuracy, a factor two better than in the previous measurement, when extracting the ππ scattering lengths a