Abstract

The parton distribution function h q (x) of a transversely polarized quark q inside a transversely po- larized nucleon, is chiral-odd and therefore not accessible in inclusive deep-inelastic scattering. It can however be observed in semi-inclusive deep-inelastic scattering (SIDIS) in combination with another chiral-odd func- tion, for instance the dihadron interference fragmentation function (DiFF) H /q 1 . The 160 GeV=c polarized muon beam of CERN's M2 beamline allows COMPASS to investigate transverse spin e ects using polarized solid- state targets. In this contribution an overview of COMPASS results for the azimuthal asymmetry in identified dihadron production is given. Pions and kaons were identified by a RICH detector. Recently, the full set of this asymmetry from the COMPASS data on the deuteron and the proton target became available. All data, includ- ing early data sets, were analyzed using the same methods and requirements. The results are compared to model predictions and HERMES data. Also a point-by-point extraction of the Transversity distribution functions h1(x) for u and d quarks was carried out with this full data set. Further investigations on the correlation between the dihadron asymmetry and the Collins asymmetries of the two hadrons of the pair have revealed an interesting dependence of these three asymmetries on the di erence of the azimuthal angles of the two hadrons.

Highlights

  • The parton distribution function hq1(x) of a transversely polarized quark q inside a transversely polarized nucleon, is chiral-odd and not accessible in inclusive deep-inelastic scattering. It can be observed in semi-inclusive deep-inelastic scattering (SIDIS) in combination with another chiral-odd function, for instance the dihadron interference fragmentation function (DiFF) H1q

  • Further investigations on the correlation between the dihadron asymmetry and the Collins asymmetries of the two hadrons of the pair have revealed an interesting dependence of these three asymmetries on the difference ∆Φ of the azimuthal angles of the two hadrons

  • No specific trend is visible for their dependence on x, z and the invariant mass of the dihadron system Minv. This result is in line with the COMPASS measurement of the Collins asymmetry on the deuteron [4] and the all-hadron h+h− results in [5]

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Summary

Introduction

The parton distribution function hq1(x) of a transversely polarized quark q inside a transversely polarized nucleon, is chiral-odd and not accessible in inclusive deep-inelastic scattering. The full set of this asymmetry from the COMPASS data on the deuteron and the proton target became available. A point-by-point extraction of the Transversity distribution functions h1(x) for u and d quarks was carried out with this full data set.

Results
Conclusion
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