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Вторые Марковские чтения Дубна-Москва, 12-13 мая 2004 г. Редкие распады каонов Ю.Г. Куденко Институт ядерных исследований РАН CKM матрица: K pnn и B распады KL p0nn K+ p+nn Дубна, 12 мая 2004 1 CKM matrix K and B decays as a test of the SM and CP-violation in the SM - CP violating parameter 2 KL p0nn and K+ p+nn in SM Flavor – changing neutral current decays Br(KLp0nn) Im(VtdVts)2 1.8•10-102A4X2(xt) 2 Br(K+p+nn) e,,,|VcdVcsXlNL + VtdVtsX2(xt)|2 [(0 )2 + 2] From isospin symmetry Br(KLp0nn) 4.4Br(K+p+nn) 2x10-9 Theory SM Br(KLp0nn) = (2.6 ± 1.2)x10-11 Br(K+p+nn) = (7.7 ± 1.1)x10-11 3 Unitarity triangle from B and K Comparison of |Vtd| from K+p+nn and Ms/ Md important test of SM Comparison of sin2 from Br(KLp0nn)/Br(K+p+nn) and A(BJ/Ks) definitive test of CP- violation in SM 4 K pnn beyond the SM (Nir and Worrah, Phys. Lett. B319, 1998) Low energy SUSY, Minimal Flavor Violation, Multiple Higgs K pnn beyond the SM Model A.Buras, hep-ph/0109197 review G.Isidori, hep-ph/0101121 SUSY T.Yanir, hep-ph/0205073 4th generation of fermions M.S.Chanowitz, hep-ph/9905478 SU(2)Lx SU(2)R Higgs C.-H.Chen, hep-ph/0202188 SUSY gluino exchange A.Buras et al., hep-ph/0402112 non-SM H.G.He, G.Valencia, hep-ph/0404229 right-handed Z’ Br(K pnn) x 1011 SM and beyond 27 (K+), 40 (K0) 60 (K+), 400 (K0) 2.8 – 10.6 15 (K+) 30(K0)/7.7(K+) 14(K0)/15(K+) 5 K+ p+nn Measurement of K+ p+nn Physics backgrounds Decay Region 2 BR PID K+ p+p0 K+ +n K+ +n K+ +p0n K+ e+p0n K+ p+p- p+ 0.21 0.63 0.005 0.032 0.048 0.056 K+ p+nn 310-11 (SM) + + + + - veto kinematics ++ + ++ ++ + + + ++ Region 1 Only K+ p+nn produces pions with momentum 205 MeV/c 6 E787/E949 detector 7 Method Experimental method - 700 MeV/c K+ beam p/K 1/3 - stop K+ in active target - delay 2 ns for K+ decay - momentum measurement in drift chamber p/p 2.5 % - measurement of range R and energy E in target and range stack RS - stop p+ in range stack - detection p+ + e+ chain in RS - veto photons and charge particles 8 Suppression of neutrals GOAL: Observation of p+ in the momentum region 211 < p <229 MeV/c + no other detector activity Average photon inefficiency 10-3 – 10-4 E949 E787 Suppresion of Kp K Ke3 K Region 1 p0 detection inefficiency 10-6 for photon threshold = 1 MeV Supression: 1 10-3 p0 10-6 9 Backgrounds K, K … K Signal box Kp 10 p e chain Suppression factor 10-5 Sample pulse height every 2 ns p+ stops in RS (2cm/layer) p++n E = 4.1 MeV R 1mm p = 26 ns + e+ nn Ee 53 MeV = 2.2 s 11 K+ p+nn acceptance E949 acceptance = 0.0022 12 Event display No other concidence signal in detector K+ p+nn event range stack p T-counter drift chamber target kaon pulse 13 Signal all cuts applied Signal region Kp background 14 Result K+ p+nn E949 Stopped kaons 1.8 1012 Total acceptance 0.22 0.02 % Signal 1 Background 0.30 0.03 E949 + E787 K+ p+nn 1 + 2 (from E787) = 3 Br(K+p+nn) = (1.47 + 1.30 – 0.89) x 10-10 (hep-ex/0403036) consistent with the SM predictions 0.006 < |Vtd| < 0.027 t = Vts Vtd = A25(1--i) 0.2410-3 <|t|< 1.0810-3 analysis below Kp peak is under way 15 KL p0nn KL p0nn from kTeV kTeV at FNAL: “pencil” KL beam Dalitz decay mode p0 e+e- signal: pt > 160 MeV/c Phys.Rev. Br(KLp0nn) 5.9x10-7 (90% c.l.) Phys.Rev.D61:072006,2000 16 KEK E391a Expected sensitivity of 10-9 - 10-10 pencil beam high acceptance high PT for Kpnn selection extreme photon veto efficiency photon calorimetry 17 KOPIO KOPIO experiment at BNL: Canada, USA, Russia (INR, IHEP), Japan, Italy, Switzerland KL p0nn at BNL - Work in KL center of mass system using TOF - Microbunched, large angle, low energy beam - Measure photon direction - Efficient photon detection pK 0.7 GeV/c flat beam 18 KOPIO detector = 500 sr, E = (2-3)%/E(GeV), = 20-30 mrad, z 15 cm, t 50ps/E(GeV), photon veto 18X0,, inefficiency 2x10-4 19 Photon and charged particle veto Main backgrounds KL p0 p0 and KL p e+n Br 10-3 Two photons missed Br 1.3x10-2 charged particle missed second photon created p0 inefficiency 10-4 x 10-4 = 10-8 20 KOPIO acceptance and backgrounds Acceptance to KL p0nn 1% KL p0nn at the SM rate 40 KL p0 p0 KL pen KL p+ pp0 KL pen KL p0 n nA p0 X Accidentals Total background 12.4 4.5 1.7 0.02 0.02 0.01 0.2 0.6 19.5 KOPIO goal: B/B 20% 10% at S/B = 2 21 KOPIO 3D 22 Conclusion and perspectives K pnn - a useful probe of new physics K+ p+nn KL p0nn Theory Experiment (7.7 ± 1.1)x10-11 (14.7 + 13.0 – 8.9) x 10-11 (2.6 ± 1.2)x10-11 5.9x10-7 (90% c.l.) CKM at FNAL doubles sensitivity next year final result 10 events (?) 100 events (?) KOPIO 40 events Perspectives: E949 23