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Performance of linear fit

This study evaluates the performance of linear fit with both 2D and new 3D sectorization. Results show improvements in parameters reconstruction using 3D sectorization over 2D. The impact parameter distribution, resolution, and training progress are discussed. New MC samples production aims to complete training on constants used by linear fit.

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Performance of linear fit

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  1. November 3, 2005 F. Crescioli, M. Dell'Orso, G. Punzi, C. Roda G. Usai, I. Vivarelli, G. Volpi Performance of linear fit

  2. Performance of linear fit • Main update during summer concerns study on 3D reconstruction of tracks using old 2D sectorization and the new 3D sectorization with granularity in eta-phi. • Started since few day a massive production of data with a custom generation for FTK: • Impact Parameter (d) distribution uniform from 0-2 mm • Uniform in 1/Et with Et>1 GeV

  3. 3D Sectors • Sector in FTK nomenclature is a combination of modules, one per plane, created in the same way of patterns.Each sector have a set of constants • In 2D sectors the modules have only two ID: plane and phi ID.Main division for interval of phi. • A 3D sector is composed of pieces with different phi ID and eta IDMain division for interval in phi and eta.

  4. Curvature, phi and d • No difference from results showed in July. Impact parameter training is not completed. We must wait the end of new data production,

  5. Longitudinal parameters 2D Sectors • Reconstruction of cot(theta) and z0 is possible with the 2D sectorization. • Appear some not-linearity effects.

  6. Longitudinal parameters 2D Sectors • Z0 reconstruction show a loss of resolution as function of cot(theta) of tracks

  7. Longitudinal parameters 3D Sectors • The 3D sectorization permit a good reconstruction of cot(theta) and z0 parameters of tracks Resolution in cot(theta) reconstruction is comparable with off-line; appears some non-linearity effects that need more studies.

  8. Longitudinal parameters Z0 reconstruction have a resolution of 10% worse than off-line but don't show not linearity effects.

  9. Parameters reconstruction • Transverse plane parameters (Curvature, d and phi) don't have improvement from the 3D sectorization. • Longitudinal parameters can be reconstructed better using 3D sectorization.

  10. 3D vs 2D • 2D sectorization have ~400 sectors: • Can reconstructs with a resolution near to the off-line 3 parameters (d, phi, 1/Pt) • 3D sectorization have 150k sectors (prediction): • Can well reconstructs 5 parameters (d, phi, 1/Pt, cot(theta), z0) In 2D reconstruction are used 7 geometrical constants for any sector and any parameters, 13 geometrical constants in 3D reconstruction Summary of performances (ftk resolution over offline res) par. 2D 3D curv: 1.6 1.6 phi: 1 1 d: .7(*) .7(*) z0: 4.5 1.1 cot(theta): 2.5 1 * training not completed

  11. New MC samples production • New production characteristics are: • Uniform distribution on impact parameter, with greater beam spot than previous to complete the training • Uniform distribution on curvature • Pt threshold 1 GeV/c instead 6 GeV/c, to have a better training on soft tracks.

  12. New MC samples production • Flat in 1/pt (curvature) • Flat in angle • Flat in Impact Parameter

  13. New MC samples production • Flat in eta • Gaussian distribution in Z0 With this production we will complete the training of constants used by linear fit for all parameters.

  14. Goals of the new MC samples and Time Table • New production need, using lxbatch, 2 days for 100k events job; we can run about 30 jobs at same time. • With 10M events, ready in very few days, we will renew the old study adding training for impact parameter. • With 100M events, approximatively one month, we think to complete patterns studies at full resolution.

  15. Goals of the new MC samples and Time Table • The chain used for training proposal integrates FtkSimWrap module and can be easily modified to product data file with the format of FTKSim. • Some updates on this production, and in future some documents for the use of FTKSimWrap in Athena, are contained at: http://fcdfhome.fnal.gov/usr/volpig/ftk/training.html

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