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Studies on decays of light mesons 9th Workshop on Hadron Physics in China and Opportunities Worldwide Lena Heijkenskjld Institut fr Kernphysik, JGU Mainz 24-29 July 2017 Experiments Dalitz plot studies Transition Form Factors


  1. Studies on decays of light mesons 9th Workshop on Hadron Physics in China and Opportunities Worldwide Lena Heijkenskjöld Institut für Kernphysik, JGU Mainz 24-29 July 2017

  2. Experiments Dalitz plot studies Transition Form Factors Introduction Light meson decays Three different but complementary experiments WASA-at-COSY KLOE/KLOE-2 A2 Dalitz plot studies Focus on: Transition form factor measurements L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 1/13

  3. Experiments Dalitz plot studies Transition Form Factors WASA-at-COSY Wide Angle Shower Apparatus Operated at Cooler Synchrotron (COSY) 2006-2015. COSY — (un)polarised proton/deutron beam p = 600 - 3700 MeV/c. Frozen pellet target — hydrogen/deuterium. Designed for studies of light mesons. p + d → 3 ❍❡ + X p + p → p + p + X or H.-H. Adam et al arXiv:nucl-ex/0411038 Ex t rac t ion ANK E RF c avit y J ESSICA ooling JULIC PAX TOF icc hast Elec t ron c ooler oc St EDDA WASA Quadrupole Central Detector Forward Detector Barrier buc k et ∼ 4 π coverage of decay particles Clean tagging of recoil particles c avit y Mini drift chamber: 17 cylindrical layers Plastic scintillators Dipole Proportional chamber Calorimeter: 1012 CsI(Na) crystals Solenoid: B max =1.3T L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 2/13

  4. Experiments Dalitz plot studies Transition Form Factors KLOE/KLOE-2 K LOng Experiment At DA Φ Ne — e + e − collider √ s = M Φ = 1019 . 4 MeV. e + + e − → Φ → X + Y + ... KLOE operated 2000-2006. collecting 2.5fb − 1 @ M Φ + 250 pb − 1 off-peak → Upgraded to KLOE-2, will collect > 5 fb − 1 2014-2018 F. Bossi, et al. , Nuovo Cimento, 30 (2008) 10 G. Amelino-Camelia et al., Eur. Phys. J. C, 68 (2010) 619 Improved vertex reconstruction and track parameters Drift Chamber For θγ down to 10 ◦ 4m diameter, 3.3 m long ∂ p ⊥ / p ⊥ < 0 . 4 % ( θ > 45 ◦ ) σ xy = 150 µ m, σ z =2mm Calorimeter Pb/scintillating fiber Quadropole coverage 98% coverage of solid angle for KL decays � σ T = 57 ps / E ( GeV ) ⊕ 140 ps e + e − taggers for γγ physics Magnetic field B=0.52 T Figure from E. Perez del Rio presentation at International Workshop on e + e − collisions from Phi to Psi 2017 L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 3/13

  5. Experiments Dalitz plot studies Transition Form Factors A2 A2 At MAinzer MIkrotron (MAMI) — (un)polarised electron accelerator, E max = 1 . 6 GeV. Electrons + radiator → tagged bremsstrahlung photons (un/linearly/circularly polarised) γ + p → p + X A. Starostin, et al., Phys. Rev. C 64, 055205 (2001) R. Novotny, IEEE Trans. Nucl. Sci. 38, 379 (1991) J. C. McGeorge Eur. Phys. J. A (2008) 37: 129-137 The Glasgow photon tagger + The end point tagger The Crystal Ball + TAPS setup Photon beam E γ = 80 - 1401 MeV σ [µbarn] 10³ Bremsstrahlung Probability [a.u] Meson Photoproduction Cross Section Crystal Ball Resolution: 1-4 MeV total 9 8 672 NaI(TI) crystals 7 Prim a ry Be a m 10² π⁰ 6 5 4 10 η ω Target, PID & 3 Dump Foca l Pla ne η ' 2 MWPC - 1 1 e Ma gne t 0 0.5 1.5 E / [GeV] S pe ctrom e te r 1 T agger EPT Ele ctron La dde r End Point T agger Resolution: Glasgow Detector T agger Vetos (47 Channels) 384 plastic scintillators MAMI Be a m Electron C ollim a tor Beam Photon Beam Photon Beam E γ = E 0 – E Ta rge t Ra dia tor - e TAPS Correction Magnet Radiator 366 BaF , 72 PbWO crystals 2 4 L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 4/13

  6. Experiments Dalitz plot studies Transition Form Factors What is a Dalitz plot? Kinematic variables 3-body decay: A given by two independent variables → 2D representation. Common choice of variables when m 1 = m 2 0.5 3 1 0.45 2 0.4 0.5 ] 0.35 T ∗ 1 − T ∗ √ 2 [GeV 1 2 Z = X 2 + Y 2 0.3 s ij = | P i + P j | 2 X = 3 Q 0.25 Y Φ 0 0 0.2 23 ( 2 m 1 + m 3 ) T ∗ Φ= tan − 1 X s -1 0.15 3 -0.5 Y = − 1 Y ( m 1 Q ) 0.1 -2 0.05 -1 -3 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 -1 -0.5 0 0.5 1 0 0.2 0.4 0.6 0.8 1 2 s [GeV ] X Z 12 Parametrisation To compare experimental/theory results — only for smooth distributions. |A ( X , Y ) | 2 ∝ N ( 1 + aY + bY 2 + cX + dX 2 + eXY + fY 3 + gX 2 Y + ... ) |A ( Z , Φ) | 2 ∝ N ( 1 + 2 α Z + 2 β Z 3 / 2 sin ( 3 Φ) + 2 γ Z 2 + 2 δ Z 5 / 2 sin ( 3 Φ) + ... ) L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 5/13

  7. − − − − − − − − − − Experiments Dalitz plot studies Transition Form Factors η → π + π − π 0 L. Caldeira Balkeståhl, Doctoral dissertation Uppsala U. 2016 25 Study ratio of light m q 20 15 m s m 2 d − m 2 ∼ Q − 2 = m d A χ PT u 10 LO m 2 s − m 2 ud Q D 5 NNLO χ PT calculated 1 — slow convergence We inbe rg 77 0 0 0.2 0.4 0.6 0.8 1 m u m d Dispersive calculations 2 , 3 — use χ PT constraints and exp. results → Q 1 J. Bijnens, et al., JHEP 11 (2007) 030, 2 G. Colangelo, et al.,Phys.Rev.Lett. 118, (2017) 022001, 3 P . Guo, et al., arXiv:1608.01447 [hep-ph] L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 6/13

  8. Experiments Dalitz plot studies Transition Form Factors η → π + π − π 0 L. Caldeira Balkeståhl, Doctoral dissertation Uppsala U. 2016 25 Study ratio of light m q 20 15 m s m 2 d − m 2 ∼ Q − 2 = m d A χ PT u 10 LO m 2 s − m 2 ud Q D 5 NNLO χ PT calculated 1 — slow convergence We inbe rg 77 0 0 0.2 0.4 0.6 0.8 1 m u m d Dispersive calculations 2 , 3 — use χ PT constraints and exp. results → Q 1 J. Bijnens, et al., JHEP 11 (2007) 030, 2 G. Colangelo, et al.,Phys.Rev.Lett. 118, (2017) 022001, 3 P . Guo, et al., arXiv:1608.01447 [hep-ph] Experimental Dalitz plots KLOE WASA 0.07 1 1 Y 25000 0.8 57 58 59 0.06 0.6 20000 0.4 50 51 52 53 54 55 56 0.5 0.05 0.2 41 42 43 44 45 46 47 48 49 15000 0 e + e − → φ → γη 32 33 34 35 36 37 38 39 40 0.04 − 0.2 KLOE 10000 Y 0 − 0.4 23 24 25 26 27 28 29 30 31 − 0.6 0.03 5000 16 17 18 19 20 21 22 pd → 3 He η − 0.8 WASA 9 10 11 12 13 14 15 − 1 -0.5 0.02 0 − 1 − 0.8 − 0.6 − 0.4 − 0.2 0 0.2 0.4 0.6 0.8 1 4 5 6 7 8 X 0.01 1 2 3 A. Anastasi, et al., JHEP 1605 (2016) 019 -1 0 High statistics Dalitz plot density distribution. -1 -0.5 0 0.5 1 X Fit parametrisation → test of theory. P . Adlarson, et al., Phys.Rev. C90 (2014) no.4, 045207 Determination of theory parameters → Q L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 6/13

  9. ❍❡ Experiments Dalitz plot studies Transition Form Factors ω → π + π − π 0 Study decay dynamic × -6 10 Final state P-wave 0.1 0.08 0.06 π − π interactions — Previously unmeasured 0.04 0.02 Full predictions by lagrangian approaches 4 and dispersion 0 00.1 3 0.20.30.40.50.60.70.80.9 2 1 0 calculations 5 , 6 . Φ Z -1 -2 -3 1 4 [Uppsala]C. Terschlüsen, et al., Eur.Phys.J. A49 (2013) 116 5 [Bonn] S.P . Schneider, et al., Eur.Phys.J. C72 (2014) 2012 6 [JPAC] I. Danilkin et al., Phys. Rev. D91 (2015) 094029 π ω π ρ π L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 7/13

  10. Experiments Dalitz plot studies Transition Form Factors ω → π + π − π 0 Study decay dynamic × -6 10 Final state P-wave 0.1 0.08 0.06 π − π interactions — Previously unmeasured 0.04 0.02 Full predictions by lagrangian approaches 4 and dispersion 0 00.1 3 0.20.30.40.50.60.70.80.9 2 1 0 calculations 5 , 6 . Φ Z -1 -2 -3 1 4 [Uppsala]C. Terschlüsen, et al., Eur.Phys.J. A49 (2013) 116 5 [Bonn] S.P . Schneider, et al., Eur.Phys.J. C72 (2014) 2012 6 [JPAC] I. Danilkin et al., Phys. Rev. D91 (2015) 094029 π ω π ρ π Experimental Dalitz plot pd → 3 ❍❡ ω and pp → pp ω WASA ( 4 . 408 ± 0 . 042 ) × 10 4 events 1 + 2 α Z + 2 β Z 3 / 2 sin 3 φ + O ( Z 2 ) � � A ∼ [ Pwave ] × − → First observation of intermediate ρ ∝ α parameter P . Adlarson, et al., Phys.Lett. B770 (2017) 418 L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 7/13

  11. Experiments Dalitz plot studies Transition Form Factors η ′ → ηπ 0 π 0 η ′ → ηππ : Test for Resonance ChPT 7 , 9 , large-N C ChPT 8 , 9 and Dispersive approach 10 7 G. Ecker, et al., Phys. Lett. B 223 (1989) 425, 8 R. Kaiser et al., Eur. Phys. J. C 17 (2000) 623, 9 Escribano, et al. JHEP 1105 (2011) 094, 10 T. Isken et al., arXiv:1705.04339 η Cusp effect η ’ π + π 0 Not yet observed in this channel π − π 0 NREFT 11 → ( a 2 − a 0 ): ππ S-wave scat. lengths for I=0,2 11 Kubis, et al., Eur.Phys.J. C62 (2009) 511-523 L. Heijkenskjöld KPH, JGU Mainz 24-29 July 2017 8/13

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