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Measurement of azimuthal asymmetries of the unpolarized cross-section at HERMES

Universit à degli studi di Ferrara. Measurement of azimuthal asymmetries of the unpolarized cross-section at HERMES. Francesca Giordano Charlottesville, USA, SPIN2008. Unpolarized Semi-Inclusive DIS (SIDIS). Unpolarized SIDIS : collinear approximation.

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Measurement of azimuthal asymmetries of the unpolarized cross-section at HERMES

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  1. Università degli studi di Ferrara Measurement of azimuthal asymmetries of the unpolarized cross-section at HERMES Francesca Giordano Charlottesville, USA, SPIN2008

  2. Unpolarized Semi-Inclusive DIS (SIDIS)

  3. Unpolarized SIDIS :collinear approximation

  4. Unpolarized SIDIS :non-collinear cross-section

  5. Unpolarized SIDIS :non-collinear cross-section

  6. DF FF Leading twist expansion

  7. DF FF Leading twist expansion Distribution Functions (DF) Fragmentation Functions (FF)

  8. Leading twist expansion Distribution Functions (DF) = Boer-Mulders function CHIRAL-ODD Fragmentation Functions (FF)

  9. chiral-odd FF chiral-odd DF CHIRAL-EVEN! Leading twist expansion Distribution Functions (DF) = Boer-Mulders function CHIRAL-ODD Fragmentation Functions (FF)

  10. Structure functions expansion at leading twist (Implicit sum over quark flavours)

  11. Structure functions expansion at twist 3 (Implicit sum over quark flavours)

  12. Structure functions expansion at twist 3 (Implicit sum over quark flavours)

  13. Structure functions expansion at twist 3 (Implicit sum over quark flavours)

  14. Structure functions expansion at twist 3 ...neglecting interaction dependent terms.... (Implicit sum over quark flavours)

  15. Cahn and Boer-Mulders effects ...neglecting interaction dependent terms.... (Implicit sum over quark flavours)

  16. kT kT CAHN EFFECT Cahn and Boer-Mulders effects

  17. kT kT CAHN EFFECT sT kT kT sT Cahn and Boer-Mulders effects BOER-MULDERS EFFECT

  18. HERa MEasurementof Spin HERA storage ring @ DESY

  19. HERMESspectrometer Resolution: Dp/p ~ 1-2% Dq <~0.6 mrad Electron-hadron separation efficiency ~ 98-99%

  20. HERMESspectrometer Resolution: Dp/p ~ 1-2% Dq <~0.6 mrad Electron-hadron separation efficiency ~ 98-99%

  21. Experimental extraction

  22. Experimental extraction

  23. Experimental extraction

  24. Experimental extraction

  25. Experimental extraction

  26. Why a fully differential analysis?

  27. Measured inside acceptance Generated in 4p Why a fully differential analysis? Standard Monte Carlo

  28. Why a fully differential analysis?

  29. 1- VS. Multi-dimensional analysis

  30. 1- VS. Multi-dimensional analysis

  31. 1- VS. Multi-dimensional analysis MC1, FLAT MC2, FLAT

  32. One-dimensional analysis Multi-dimensional analysis 1- VS. Multi-dimensional analysis

  33. One-dimensional analysis Multi-dimensional analysis 1- VS. Multi-dimensional analysis Fully differential analysis is needed

  34. The unfolding procedure

  35. The unfolding procedure Probability that an event generated with kinematics w is measured with kinematics w’ (w’) (w)

  36. Accounts for acceptance, radiative and smearing effects depends only on instrumental and radiative effects The unfolding procedure Probability that an event generated with kinematics w is measured with kinematics w’ (w’) (w)

  37. Accounts for acceptance, radiative and smearing effects depends only on instrumental and radiative effects The unfolding procedure Probability that an event generated with kinematics w is measured with kinematics w’ Includes the events smeared within kinematical cuts

  38. The unfolding procedure

  39. x bin=1 x bin=2 Z x bin=3 x bin=4 x bin=5 f f f f f The multi-dimensional analysis ....x4 as the y binning is missing here!

  40. x bin=1 x bin=2 Z x bin=3 x bin=4 x bin=5 f f f f f The multi-dimensional analysis unfolding ....x4 as the y binning is missing here!

  41. x bin=1 x bin=2 Z x bin=3 x bin=4 x bin=5 f f f f f The multi-dimensional analysis projection ....x4 as the y binning is missing here!

  42. x bin=1 x bin=2 Z x bin=3 x bin=4 x bin=5 f f f f f The multi-dimensional analysis

  43. The multi-dimensional analysis Monte Carlo check Model for the ‘Cahn effect’ in Monte Carlo

  44. Generated in 4p Measured inside acceptance The multi-dimensional analysis Monte Carlo check

  45. Generated in 4p Measured inside acceptance The multi-dimensional analysis Monte Carlo check

  46. Generated in 4p Measured inside acceptance The multi-dimensional analysis Monte Carlo check

  47. Monte Carlo Test Cahn Model Unfolded

  48. Results

  49. Statistics

  50. Hydrogen target

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