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Experimental tests of the SM (2): CP violation and the CKM matrix FK8022, Lecture 6 Core text: Status of the CKM Matrix and CP Violation, A. Stocchi
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Lecture outline Standard Model flavour parameters C, P, CP reminders CP violation in the SM CP violation and the CKM matrix Unitarity triangle
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Free parameters of the Standard Model Masses ParameterValueMethod mumu 1.9 MeVLattice mdmd 4.4 MeVLattice msms 87 MeVLattice mcmc 1.3 MeVCollider mbmb 4.24 MeVCollider mtmt 173 GeVCollider meme 511 keVNon-collider mm 106 MeVNon-collider mm 1.78 GeVCollider mzmz 91.2 GeVCollider mHmH 125 GeVCollider Couplings ParameterValueMethod 0.0073non-collider + collider GFGF 1.17x10 -5 Non-collider ss 0.12Lattice + collider ParameterValueMethod (CKM) 13.1 o Collider (CKM) 2.4 o Collider (CKM) 0.2 o Collider (CKM-CPV) 0.995Collider (strong CP) ~0Non-collider Flavour and CP violation
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This lecture: Flavour physics, CP -violation and CKM matrix measurements from colliders. ParameterValueMethod (CKM) 13.1 o Collider (CKM) 2.4 o Collider (CKM) 0.2 o Collider (CKM-CPV) 0.995Collider Flavour and CP violation Parameters of the SM Flavour physics: weak charged current interactions involving hadron decays.
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Very very brief reminder (1): parity LH RH v Parity QuantityEvenOdd Time Mass Energy Angular momentum Position Velocity Force Helicity
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Very very brief Reminder (2): charge conjugation (C) and CP
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Mechanism for CP violation in SM X f 1
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CP violation in the SM
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Different ways to violate CP
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Direct CP violation 12
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Direct CP -violation in B-sector
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CP -violation in mixing
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CP violation between mixing+decay
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Observations of CP violation ProcessType of CP violation 1Mixing 2Direct 3Interference of mixing and decay 4 5 6 7 8 9 10Direct 11Direct 12Direct
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CKM matrix
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Unitarity constraint
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Freedoms in the quark fields
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Check with Cabibbo theory
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CKM matrix - 1
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CKM matrix-2
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Revisiting CP violation Hadron typeNaive CPV prospects TopTop hadrons don’t exist!! Bottom CharmNo promising tree-level decays. D-mesons decay quickly ( s) with many decay possibilities Strange No promising tree-level decays. Long lifetime ( s), promising with CPV loops/oscillations. Size ~0.1%.
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CP violation timeline > 2010 LHC-B: CPV in B s decays Kaon Experiments B-hadron experiments Series of dedicated small and not so-small experiments on K’s and B’s to study CPV.
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Determination of non-CPV CKM parameters
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Unitarity triangle CP violation
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In an ideal world CP violation
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In the real world – experiments measure contours
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Why the large errors ? We want to test the EW sector of the SM and extract CKM parameters. But we observe the electroweak+strong stuff. The strong stuff is poorly understood. Use models to separate the contributions. Large uncertainties. Large widths for some contours.
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ObservableFit result A 0.823[+0.012 -0.033] l 0.22457 [+0.00186 -0.00014] 0.1289 [+0.0176 -0.0094] 0.347 [+0.012 -0.012] State of the art unitarity triangle
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Why flavour is important for searches Excluded Allowed SM
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Summary CP violation in the Standard Model is an interference effect CKM matrix governs all quark mixing + CP violation with four parameters Many, many measurements of hadron decay. The CKM matrix consistently describes them all.
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