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A proposal to Study Rare Kaon Decays Augusto Ceccucci/CERN
at the CERN SPS Augusto Ceccucci/CERN Physics Introduction Rare Kaon Decays in the SM…. …and Beyond Flavour as a probe of New Physics complementary to the high energy frontier Experimental state-of-the-art Recent Results and world-wide perspectives Description of the CERN proposal P-326 Technique Status March 27, 2006 Saclay - Orsay
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Quark Mixing and CP-Violation
Cabibbo-Kobayashi-Maskawa (CKM) matrix: Non-diagonal (e.g. Vus ≠0) Flavour Violation 3 or more quark generations CP-Violation in SM (KM) Ng=2 Nphase=0 No CP-Violation Ng=3 Nphase=1 CP-Violation Possible e.g., Im lt= Im Vts*Vtd ≠ 0 CPV March 27, 2006 Saclay - Orsay
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CKM Unitarity and Rare Kaon Decays
The unitarity of the CKM matrix can be expressed by triangles in a complex plane. There are six triangles but one is more “triangular”: VudVub*+VcdVcb*+VtdVtb*=0 It is customary to employ the Wolfenstein parameterization: Vus ~ l Vcb ~ l2 A Vub ~ l3 A(r- ih) Vtd ~ l3 A(1-r- ih) Sensitive to |Vtd| CP Im lt = A2 l5 h Re lt = A2 l5 r March 27, 2006 Saclay - Orsay
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Status of Unitarity Triangle
Sides+angles Sides vs. CPV Rare kaon decays are loop-dominated. They are a unique probe of the sd transitions and provide independent CKM tests March 27, 2006 Saclay - Orsay
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The four golden modes of Kaon Physics
Short-distance contrib (Gsd /G) Irreducible theory err. on amplitude Total SM BR K0Lp0 n n >99% 1% 3 10-11 K+p+ n n 88% 3% 8 10-11 K0Lp0 e+e- 38% 15% 3.5 10-11 K0Lp0 m+m- 28% 30% 1.5 10-11 Short distance dynamics: W-top quark loops constitute the dominant contribution: The EW short-distance amplitude is common in the SM… …but potentially different beyond SM Important to address all these decays Adapted from G. Flavour in the LHC era, 5-7 Nov 05, CERN March 27, 2006 Saclay - Orsay
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K→p nn : Theory in Standard Model
charm contribution top contributions The Hadronic Matrix Element is measured and isospin rotated March 27, 2006 Saclay - Orsay
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Predictions in SM Standard Model predictions
This used to be the largest theoretical error (+/ ). It was reduced by a NNLO calculation A. Buras, M. Gorbahn, U. Haisch, U. Nierste hep-ph/ ) Standard Model predictions BR(K+p+nn) (1.6×10-5)|Vcb|4[sh2+(rc-r)2] (8.0 ± 1.1)×10-11 BR(KLp0nn) (7.6×10-5)|Vcb|4h2 (3.0 ± 0.6)×10-11 The errors are mostly due to the uncertainty of the CKM parameters and not to the hadronic uncertainties March 27, 2006 Saclay - Orsay
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Theory vs. Experiment SM Observable Theoretical error
Experimental error B(K0Lp0 n n) ~3% ?? B(K+p+ n n) ~6% ~75% AFB(B Xsl+l-) ~8% B(B Xsg) ~10% ~9% B(B Xsl+l-) ~13% ~20% AFB(B K(*)l+l-) ~15% ~30% B(B (K(*),r,w)g) ~25% ~40% B(Bs m+m-) B(B K*l+l-) ~35% Adapted from U. Flavour in the LHC era, 6-8 Feb 06, CERN March 27, 2006 Saclay - Orsay
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Intrinsic theory error
Combining information from BR(K+→p+ nn ) and BR(K0→p0 nn ) one obtains: (Buras et al. hep-ph/ ) So for a 10% uncertainty on Pc, one can extract, in priciple, a 3.4%exp. determination of sin2b from kaon decays. It is currently 4.6% from B decays March 27, 2006 Saclay - Orsay
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Beyond Standard Model Compare two scenarios: Minimal Flavour Violation
All mixing governed by universal CKM matrix No Extra Complex Phases Same operators as in SM Different coefficients Stringent correlation with B rare decays New sources of Flavour Symmetry Breaking ~ TeV scale Extra phases can lead to large deviations from SM predictions, especially for the CP-Violating modes March 27, 2006 Saclay - Orsay
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MFV: Sensitivity to Z0 Penguin from Bobeth et a. (2005)
March 27, 2006 Saclay - Orsay
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New Sources of Flavour Symmetry Breaking
Generic MSSM Enhanced EW Penguins March 27, 2006 Saclay - Orsay
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Experimental State-of-the-art
March 27, 2006 Saclay - Orsay
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K+→p+ nn BR(K+ → p+ nn ) = 1.47+1.30-0.89 × 10-10
hep-ex/ PRL93 (2004) AGS Stopped K+ ~0.1 % acceptance BR(K+ → p+ nn ) = × Compatible with SM within errors March 27, 2006 Saclay - Orsay
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Setting the bar for the next generation of K+→p+nn experiments
E787/E949: BR(K+ → p+ nn ) = × Current constraint on r,h plane ? 100 events Mean=SM 100 events Mean=E787/949 March 27, 2006 Saclay - Orsay
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K0L p0nn : E391a Upper Limit 10% of RUN I Pencil beam
Expected background from K0L decays: 0.02 Acceptance: 0.73% BR(K0L p0nn )<2.86 %CL Preliminary (Ken 6 improvement over KTeV one day special run 2 improvement over published limit (KTeV Dalitz technique) For the future: JPARC LOI-05 Recently, J-PARC made a call for proposals March 27, 2006 Saclay - Orsay
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K0S,L →p0 e+e- and K0S,L →p0 m+m-
BR(KS→p0ee) 10-9 = (stat) ± 0.8(syst) PLB 576 (2003) BR(KS→p0mm) 10-9 = (stat) ± 0.2(syst) PLB 599 (2004) KS →p0 mm NA48/1 NA48/1 6 events, expected back. 0.22 7 events, expected back. 0.15 BR(KL → p0 ee ) < 2.8 × KTeV PRL93, (2004) BR(KL → p0 mm ) < 3.8 × KTeV PRL86, 5425 (2001) March 27, 2006 Saclay - Orsay
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Constructive now favored by two independent analyses*
K0L→p0ee (mm) in SM With the KS measurements, the KL BR can be predicted * Interference between short- and long-distance physics* (Isidori, Unterdorfer, Smith, EPJC36 (2004)) Constructive now favored by two independent analyses* Destructive *G. Buchalla, G. D’Ambrosio, G. Isidori, Nucl.Phys.B672,387 (2003) *S. Friot, D. Greynat, E. de Rafael, hep-ph/ , PL B 595 * March 27, 2006 Saclay - Orsay
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Summary K+ p+nn K0L p0nn K0L p0ee(mm)
Already 3 clean events are published (E787/E949) Experiment in agreement with SM within errors Next round of exp. need to collect O(100) events to be useful Move from stopped to in flight technique (FNAL Proposal turned down by P5) Proposal for in-flight decays: CERN P-326 Letter of Intent at J-PARC to continue the study with decays at rest K0L p0nn Large window of opportunity exists. Upper limit is 4 order of magnitude from the SM prediction First results E391a (proposed SES~ ) LOI to continue at J-PARC KOPIO TERMINATED K0L p0ee(mm) Long distance contributions under good control Measurement of KS modes has allowed SM prediction KS rates to be better measured Background limited (study time dep. Interference?) 100-fold increase in kaon flux to be envisaged March 27, 2006 Saclay - Orsay
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Proposal to Measure the Rare Decay K+p+ n n at the CERN SPS
CERN-SPSC SPSC-P-326 Proposal to Measure the Rare Decay K+p+ n n at the CERN SPS CERN, Dubna, Ferrara, Florence, Frascati, Mainz, Merced, Moscow, Naples, Perugia, Protvino, Pisa, Rome, Saclay, San Luis Potosi, Sofia, Turin March 27, 2006 Saclay - Orsay
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Background rejection Guidance: S/B = 10 ~10-12 rejection
1) Kinematical Rejection 2) Photon vetoes and PID (p-m) Basic idea to reject K+ p+p0 P(K+) = 75 GeV/c Require P(p+) < 35 GeV/c P(p0) > 40 GeV/c It cannot be missed in the calorimeter/photon veto March 27, 2006 Saclay - Orsay
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Backgrounds kinematically constrained
Decay BR K+m+n (Km2) 0.634 K+ p+p0 0.211 K+ p+p+p- K+ p+p0p0 0.070 Allows us to define the signal region 92% of K+ decays K+p+p0 forces us to split it into two parts Region I: 0 < m2miss < 0.01 GeV2/c4 Region II: < m2miss < GeV2/c4 March 27, 2006 Saclay - Orsay
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Backgrounds not kinematically constrained
Decay BR K+p0e+n (Ke3) 0.049 Km3 0.033 Km2g 5.5×10-3 K+p+p0g 1.5×10-3 Ke4 4×10-5 Km4 1×10-5 They span accross the signal regions Must rely on Particle ID and veto 8% of K+ decays March 27, 2006 Saclay - Orsay
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P-326 Detector Layout K+p+ n n p+ K+ ~11 MHz n 75 GeV/c n
Gigatracker p+ K+ ~11 MHz n 75 GeV/c 800 MHz beam p/K/p n (KABES) March 27, 2006 Saclay - Orsay
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P-326 Detector Layout K+p+p0 p+ g K+ ~11 MHz g 75 GeV/c 800 MHz beam
Gigatracker g p+ K+ ~11 MHz g 75 GeV/c 800 MHz beam p/K/p (KABES) March 27, 2006 Saclay - Orsay
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Signal & backgrounds from K decays / year
Total Region I Region II Signal 65 16 49 K+p+p0 2.7±0.2 1.7±0.2 1.0±0.1 Km2 1.2±0.3 1.1±0.3 <0.1 Ke4 2±2 negligible K+p+p+p- and other 3-tracks bckg. 1±1 Kp2g 1.3±0.4 Km2g 0.4±0.1 0.2±0.1 Ke3, Km3 ,others - Total bkg 9±3 3.0±0.2 6±3 March 27, 2006 Saclay - Orsay
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Summary Signal events expected per year@BR=8 10-11 Background events
65 (16 Region I, 49 Region II) Background events ~9 (3 Region I, ~6 Region II) Signal/Background ~ 8 S/B (Region I) ~5 S/B (Region II) ~ 9 For Comparison: In the written proposal we quoted 40 to account for some reconstruction and deadtime losses March 27, 2006 Saclay - Orsay
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New high-intensity K+ beam for P-326
Already Available Beam: Present K12 (NA48/2) New HI K+ > 2006 Factor wrt 2004 SPS protons per pulse on T10 1 x 1012 3 x 1012 3.0 Duty cycle (s./s.) 4.8 / 16.8 1.0 Solid angle (msterad) 0.40 16 40 Av. K+momentum <pK> (GeV/c) 60 75 K+ ~ 1.5 Mom. band RMS: (Dp/p in %) 4 1 ~0.25 Area at Gigatracker (cm2) 7.0 14 2.0 Total beam per pulse (x 107) per Effective spill length MHz MHz/cm2 (gigatracker) 5.5 18 2.5 250 800 ~45 (~27) ~24(~15) Eff. running time / yr (pulses) 3 x 105 K+ decays per year 1.0x1011 4.8x1012 48 March 27, 2006 Saclay - Orsay
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Decay Tank Specification: 10-6 mbar Measurements: Conclusions:
Study performed with Monte Carlo using Fluka and Gheisha to simulate the hadronic interactions with the residual gas. Measurements: Vacuum test performed on the existing tube of NA48. A 10-5 mbar level reached with only 1 pump. With a few l/s diffusion or cryogenics pumps the requested vacuum level can be achieved Conclusions: The existing decay tank can be used March 27, 2006 Saclay - Orsay
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Gigatracker qp PK qK Pp SPIBES: Dependence of the signal to
Provide precise measurements on all beam tracks (out of which only ~6% are K+) Provide very good time resolution Minimise mass (multiple scattering and beam interactions) Sustain high, non-uniform rate ( 800 MHz total) Pp PK qK qp Two Silicon micro-pixel detectors (SPIBES) Timing Pattern Recognition Improved KABES (micromegas TPC) To minimise scattering in the last station SPIBES: X/X0 << 1% Pixel size ~ 300 x 300 mm s(p)/p ~ 0.4% excellent time resolution to select the right kaon track Dependence of the signal to background (from K+ p+p0 ) ratio as a function of the gigatracker time resolution March 27, 2006 Saclay - Orsay 30
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SPIBES (Hybrid Pixel) y x MeV
G. Anelli, M. Scarpa, S. Tiuraniemi 200 mm Silicon sensor (> e/h mip) Following Alice SPD Bump-bonding Read-out chip Pixel 300 mm x 300 mm Thinned down to ~100 mm (Alice SPD 150 mm) Beam surface ~ 14 cm2 Adapted to the size of the SPIBES r-o chips ~125 mm Cfibre for cooling & support y x 2mm/bin Station 1(pixels) 2(pixels) (FTPC) Front End and R/O considerations based on the experience of the CERN-PH/MIC and PH/ED Groups with the ALICE SPD March 27, 2006 Saclay - Orsay MeV
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KABES principle: TPC + micromegas
FTPC (KABES) Tdrift1 Tdrift2 Micromegas Gap 25 μm KABES principle: TPC + micromegas Pioneered in NA48/2 Tested in 2004 at high intensity with 1 GHz FADC In NA48/2 KABES has achieved: Position resolution ~ 70 micron Time resolution ~ 0.6 ns Rate per micro-strip ~ 2 MHz New electronic + 25µm mesh strip signal occupancy divided by 3 March 27, 2006 Saclay - Orsay
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Straw Tracker Advantages:
can (in principle) operate in vacuum decay volume can be designed without internal frames and flanges can work in high rate of hits good space resolution (~130 m/hit for 9.6 straw) small amount of material (~0.1% X0 per view) but no previous large straw system has been operated in high vacuum March 27, 2006 Saclay - Orsay
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Downstream straw tracker
6 chambers with 4 double layers of straw tubes each ( 9.6 mm) Rate: ~45 KHz per tube (max 0.5 MHz) (m+p) 2.3 m Operate in high vacuum Low X/X0 z y 7.2 m X/X0 ~ 0.1% per view x 130 mm / hit s(P)/P = 0.23% 0.005%P s(q) ~ 50 20 mrad Good space resolution 7.2 m Redundant momentum measurement 2 magnets: 270 and 360 MeV Ptkick 5.4 m 8.8 m 5 cm radius beam holes displaced in the bending plane according to the 75 GeV/c beam path Veto for charged negative particles up to 60 GeV/c March 27, 2006 Saclay - Orsay
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RICH Layout March 27, 2006 Saclay - Orsay
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RICH as velocity spectrometer….
Resolution of a 17m P-326 RICH (CKMGEANT) March 27, 2006 Saclay - Orsay
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…and RICH for p-m separation
March 27, 2006 Saclay - Orsay
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NA48 LKr as Photon Veto Energy of photons from K+ p+p0
hitting LKr: > 1 GeV GeV Consolidation of the safety/control system and read-out under way March 27, 2006 Saclay - Orsay
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LKr efficiency measured with data
K+ p+ p0 collected by NA48 in 2004 Cluster not reconstructed Eg = 22 GeV Pion P=42 GeV/c Photon E=11 GeV Expected position Events are kinematically selected. p+ track and lower energy g are use to predict the position of the other g K+p+p0p0 March 27, 2006 Saclay - Orsay
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Example: “hadronic” cluster of a photon
Expected energy: ~29 GeV Deposited energy: ~9 GeV Maximum energy ~300 MeV Expected g position Measured LKr inefficiency per photon (Eg > 10 GeV): h = (2.8 ± 1.1stat ± 2.3syst) × (preliminary) March 27, 2006 Saclay - Orsay
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Beam test foreseen during
Idea for measuring inefficiency in the range 2 GeV < Eg< 10 GeV Use of the NA48 set-up. Photons produced by bremsstrahlung. SPS can provide a suitable electron beam. Beam test foreseen during the 2006 SPS run Kevlar window Magnet Calorimeter vacuum e- g Electron beam (25 GeV/c) Bremsstrahlung Drift chambers Calorimeter inefficiency below Eg < 5 GeV is not critical March 27, 2006 Saclay - Orsay
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ANTI-Photon Rings From: Ajimura et al., NIMA 552 (2005)
Two designs under test: spaghetti (KLOE) lead/scintillator sandwich (CKM) Extensive simulation under way A tagged photon beam is available in Frascati to test existing prototypes March 27, 2006 Saclay - Orsay
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Other Physics Opportunities
The situation is similar to NA48, which was designed to measure “only” e’/e but produced many more measurements Accumulating ~100 times the flux of NA48/2 will allow us to address, for instance: Cusp like effects (p-p scattering) K+ p0 p0 e+ n Lepton Flavour Violation K+ p+ m+ e- , K+p- m+ e+, (Ke2/Km2) Search for new low mass particles K+ p+ X K+ p+ p0 P (pseudoscalar sGoldstino) Study rare p+ & p0 decays Improve greatly on rare radiative kaon decays Compare K+ and K- (alternating beam polarity) K+/- p+/-p0g (CPV interference) T-odd Correlations in Kl4 And possibly, given the quality of the detector, topics in hadron spectroscopy March 27, 2006 Saclay - Orsay
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Status of P-326 (a.k.a. NA48/3) Presented at the CERN SPSC in September 2005 Strong endorsement of the Physics Case Review of the proposed technique 2006 R&D plan endorsed by CERN RB on December 05 Resources being appropriated Beam Test foreseen in Sept-Oct 2006 Measure LKr efficiency for 1-10 GeV photons Equip a CEDAR counter with fast read-out Collaboration still open to new groups RICH responsibility Seeking full approval by end of 2006…. Enter CERN Medium Term Plan …to be able to start data taking some time in March 27, 2006 Saclay - Orsay
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Summary Clear physics case Healthy competition worldwide:
The discovery of New Physics will dramatically increase the motivation for searches of new flavour phenomena Healthy competition worldwide: J-PARC SPS Exploit synergies and existing infrastructures NA e’/e NA48/ KS rare decays NA48/ Dg/g in K 3p P K+ p+nn SPS SPS used as LHC injector (so it will run in the future) No flagrant time overlap with CNGS P-326 fully compatible with the rest of CERN fixed target because P-326 needs only ~1/20 of the SPS protons Join us! March 27, 2006 Saclay - Orsay
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Spare Slides March 27, 2006 Saclay - Orsay
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Stability and Systematics
Systematic uncertainties Effect on Δx104 Acceptance and beam geometry 0.3 Spectrometer alignment 0.1 Analyzing magnet field π± decay 0.4 U calculation and fitting 0.2 Pile-up Total systematics 0.6 Trigger efficiency: L2 0.5 Trigger efficiency: L1 Control of Detector asymmetry Control of Beamline asymmetry March 27, 2006 Saclay - Orsay
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NA48/2 (2003 data) K+/- p+/- p+p- K+/- p+/- p0p0
Slope difference: Δg = (-0.7±0.9stat.±0.6stat.(trig.)±0.6syst.)x10-4 = (-0.7±1.0)x10-4 Charge asymmetry: Ag = (1.7±2.1stat.±1.4stat.(trig.)±1.4syst.)x10-4 = (1.7±2.9)x10-4 K+/- p+/- p0p0 Δg = (2.3 ± 2.8stat. ± 1.3trig.(stat.) ± 1.0syst. ± 0.3ext.)x10-4 = (2.2 ± 3.1)x10-4 Charge asymmetry: [using g0=0.638 ] A0g = (1.8 ± 2.2stat. ± 1.0trig.(stat.) ± 0.8syst. ± 0.2ext.)x10-4 = (1.8 ± 2.6)x10-4 hep-ex/ Order of magnitude improvement March 27, 2006 Saclay - Orsay
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Observation of p-p scattering effect in K→3p decays
NA48/2 has made the first observation the of the charge exchange process +00 in the K00 decay. 1 bin = GeV2 30M events NA48/2 PLB 633 (2006) hep-ex/ 4mπ+2 K±±00 4mπ+2 G~|M0+M1|2 N. Cabibbo, hep-ph/ PRL (2004) N. Cabibbo and G. Isidori, hep-ph/ JHEP 503 (2005) M2(00) (GeV/c 2)2 March 27, 2006 Saclay - Orsay
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Difference between p-p scattering length in I=0 and I=2 states
the pionium contribution has been fixed to the prediction: Z.K. Silagadze, hep-ph/ (a0 – a2)m has low sensitivity to pionium (a0 – a2)m+ = ± 0.010(stat) ± 0.004(syst) ± 0.013(theor) In agreement with theory (a0 – a2)m+ = ± (Colangelo 2001) March 27, 2006 Saclay - Orsay
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MAMUD To provide pion/muon separation and beam sweeping.
Iron is subdivided in cm thick plates (260 260 cm2 ) Two coils magnetise the iron plates to provide a 5 Tm field integral in the beam region Active detector: Strips of extruded polystyrene scintillator (as in Opera) Light is collected by WLS fibres with 1.2 mm diameter Pole gap is 2 x 11 cm V x 30 cm H Coils cross section 10 cm x 20cm March 27, 2006 Saclay - Orsay
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Trigger & DAQ Total input to L0: 11 MHz L0 (example): L0 output:
> 1 hit hodoscope 73% muon veto 24% Photon Veto 18% <2 EM quadrants & E<50 GeV 3% L0 output: 3% x 11 MHz = 330 KHz Keep: L0 + Control + Calibration + Spin-offs < 1 MHz L1 in PC farm (à la LHCb) to keep as much flexibility as possible Software trigger reduction ~40 Important synergies with LHC to be exploited: for instance, the LHCb TELL1 board March 27, 2006 Saclay - Orsay
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NA48@CERN Re e’/e = 14.7 ± 2.2 10-4 ’/ ’/ lower inst. intensity
Direct CP-Violation established 1996 Re e’/e = 14.7 ± 2.2 10-4 1997 1998 1999 2000 2001 2002 2003 NA48: ’/ ’/ ’/ lower inst. intensity NA48/1 KS NA48/1: KS KL no spectrometer NA48/2: K Ave: Re e’/e = 16.7 ± 2.3 10-4 + KL Rare Decays First observation of K0S →p0 e+e- and K0S →p0 m+m- Search for Direct CP-Violation in charged kaon decays pp scattering: PLB 633 (2006) (a0-a2)m+= / NA48/2: K 2004 March 27, 2006 Saclay - Orsay
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Straw Elements and Design
12 ns rise time 100 ns total width 2300 mm Glue – 5m 12.5 m 0.2 m Al 9.6 mm 25 m Gold plated Tungsten wire 30 m Polycarbonate spacer, 25 mg Two double layers form a view Gas mixture: 20%Ar+80%CO2 3 coordinates 4 coordinates 2 coordinates 1 coordinate 10 cm To fit easily into decay volume an octagonal shape is proposed 8.8 m 186.3 m from T0 5.4 m 7.2 m k12hika+ (Niels) About 2000 * 6 -> straws in total March 27, 2006 Saclay - Orsay
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hep-ph/ March 27, 2006 Saclay - Orsay
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: Physics Motivation [1] Helicity suppressed decay [2] Decay Form of
: left-handed (in SM) : spin 0 p0 copiously collected from K+ p+p0 [1] Helicity suppressed decay (A) Neutrino mass : implies (B) Neutrino type : Majorana neutrino x2 larger branching ratio. [2] Decay Form of (B) Decay into different neutrino flavors : (A) Sensitive to any hypothetical weakly-interacting neutrals. [3] Cosmological Interests Neutron star cooling model through pion pole mechanism : March 27, 2006 Saclay - Orsay
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Branching Ratio New upper limit (E949) :
2/3 sample Saturation at 3.5x106 1/3 sample Conservative upper limit # signal < 113 (90%CL) subtracting the non-Kp2 bkgnds; New upper limit (E949) : A factor of 3 improvement from the previous best result. March 27, 2006 Saclay - Orsay
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