By Rudin Petrossian-Byrne Supervisors: Dr. Marco Gersabeck & Stefanie Reichert CERN Summer Student Programme 2014.

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Presentation transcript:

By Rudin Petrossian-Byrne Supervisors: Dr. Marco Gersabeck & Stefanie Reichert CERN Summer Student Programme 2014

Before The Physics…. Hi! My name is Rudin from Dublin studying Physics ( Undergraduate )

Rudin Petrossian-Byrne CERN The big picture Mixing and CPV

Rudin Petrossian-Byrne CERN The big picture Mixing and CPV Mixing

Rudin Petrossian-Byrne CERN The big picture Mixing and CPV Mixing me

Rudin Petrossian-Byrne CERN The big picture Mixing and CPV with Charm  2007 – First Evidence from BaBar and Belle for mixing in charmed neutral mesons Charm Quark  No significant evidence for CPV in charm to date Mixing parameters very small SM ‘predicts’ small CPV Observation at current sensitivity would imply New Physics R Phys. Rev. Lett. 110 (2013)

Rudin Petrossian-Byrne CERN Allows measuring x and y parameters directly

Rudin Petrossian-Byrne CERN Allows measuring x and y parameters directly PP  Protons collide in the VELO Detected by TT tracker. Bend through magnet. Detected by T1, T2, T3.

Rudin Petrossian-Byrne CERN Allows measuring x and y parameters directly  3-Body Decay Unlike 2-body decays, energy of daughter particles not well-defined Range of possible values. LHCb Simulation

Rudin Petrossian-Byrne CERN 2014 What we observe: Dalitz plot is characterised by Resonances + non-resonant background 10 Not homogenously populated with events Some daughter energies more probable LHCb Simulation

Rudin Petrossian-Byrne CERN 2014  Approximate by a relativistic Breit–Wigner probability distribution function 11 THE ISOBAR MODEL Great for isolated Resonances!

Rudin Petrossian-Byrne CERN 2014 PROBLEM Not good Theorists are unhappy 12 Should probably do something about that… Great for isolated Resonances! BAD for overlapping resonances Curtis A. Meyer, Carnegie Mellon University, ‘A k-matrix tutorial’ (2008)

Rudin Petrossian-Byrne CERN 2014 ALTERNATIVE MODEL 13

Rudin Petrossian-Byrne CERN 2014 K-Matrix Formulation 14 Upholds unitarity by construction! Curtis A. Meyer, Carnegie Mellon University, ‘A k-matrix tutorial’ (2008) ─Breit-Wigner ─K-matrix ─Breit-Wigner ─K-matrix

Rudin Petrossian-Byrne CERN 2014 Implementation: CODING Running on a GPU (Graphical Processing Unit) 15

Rudin Petrossian-Byrne CERN 2014 What are we fitting to data? 21 floating variables 16 LHCb Simulation Need to fit

 Wrestling with errors Rudin Petrossian-Byrne CERN STATUS  This Week: Code Working on a CPU!  GPU memory issues currently being addressed

Rudin Petrossian-Byrne CERN THANK YOU Questions?

Rudin Petrossian-Byrne CERN Spare Slides

Rudin Petrossian-Byrne CERN 2014 What are we fitting to data? 21 floating variables 20 Sum over polesNon resonant termCorrection term

Rudin Petrossian-Byrne CERN

Rudin Petrossian-Byrne CERN

Rudin Petrossian-Byrne CERN Onto the Physics…. Isobar model K-matrix Detection Dalitz Plot & Resonances