Challenges and future of three-body heavy meson decays Patricia C. Magalhães University of Bristol seminar @ Imperial College London, 30 October 2019 p.magalhaes@bristol.ac.uk
discussion topics � 2 Please stop me Why we study 3-body hadronic decay? at any moment! What are the tools? Dalitz plot 2-body x 3-body dynamics D + → K − K + K − decay can extract KK scattering amplitude CP violation in B decays charm rescattering in B + → K − K + K − final remarks 3-body hadronic decay 30/10/2019 Patricia Magalhães
Motivation � 3 Standard Model works quite well but... some gaps! baryogenesis ! CP-Violation massive localized Acp B ± → h ± h − h + πππ (DTF) 0.8 25 High 0.6 π 2 π dynamic effect !! m 20 0.4 0.2 1st observation in charm 15 0 D 0 ( ¯ mixing D 0 ) → h − h + -0.2 10 -0.4 CPV on three-body? 5 A CP = Γ ( M → f ) − Γ ( ¯ M → ¯ -0.6 f ) Γ ( M → f ) + Γ ( ¯ M → ¯ f ) -0.8 0 0 2 4 6 8 10 12 14 can lead to new physics 2 m (DTF) Low π π LHCb PRD90 (2014) 112004 3-body hadronic decay 30/10/2019 Patricia Magalhães
Context � 4 D and B three-body HADRONIC decays are dominated by low E resonances spectroscopy: new resonances, their properties… 1st observation of 𝜏 [ ] and 𝜆 [ ] f 0 (600) K ∗ 0 (700) information of MM interactions no KK available in D decays new high data sample from LHCb more to come from LHCb and Belle II simple models (only focus on two-body resonances) are not enough to explain data anymore theoretical challenge ! B and D 3-body phase space … ≠ scales!!! similar FSI B phase-space + FSI possibilities 3-body hadronic decay 30/10/2019 Patricia Magalhães
Three-body kinematics : DALITZ plot � 5 In three-body decay phase-space is NOT one-dimension! bi-dimension phase-space information A conservação da energia e momento DALITZ PLOT : proposed by Richard Dalitz (1925-2006) in 1953 Mandelstam variables for 3-body s 12 + s 13 + s 12 = M 2 + m 2 1 + m 2 2 + m 2 3 dynamics resonances 29 3-body hadronic decay 30/10/2019 Patricia Magalhães
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Lett. 105 (2010) 081803 image credit:Tom Latham 3-body hadronic decay 30/10/2019 Patricia Magalhães
Are methods used for D decay Three-body kinematics : DALITZ plot Dalitz plots also valid for B decays? � 7 D 0 → K − π + π 0 D 0 → K s π − π + D→K – π + π 0 B→K – π + π 0 ) 3 3 10 a) 4 /c 2 (GeV 2 10 2 + s Same model Same model as D decay as D decay 10 1 1 1 2 3 2 4 s (GeV /c ) - Image credit: Brian Meadows image credit:Brian Meadows D Dalitz plot Similar final state but different interference pattern on same scale Tim Gershon 18 different dynamics to be understood Introduction to Dalitz Plot Analysis to disentangle the interference we need amplitude analysis new hight sample data cannot be described only by adding resonances! 3-body hadronic decay 30/10/2019 Patricia Magalhães
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