Azimuthal Asymmetric Distribution of Hadrons Inside a Jet at Hadron Collider

Abstract

We study the azimuthal asymmetric distribution of hadrons inside a high energy jet in the single transverse polarized proton proton scattering, coming from the Collins effect multiplied by the quark transversity distribution. We argue that the Collins function in this process is the same as that in the semi-inclusive deep inelastic scattering. The experimental study of this process will provide us important information on the quark transversity distribution and test the universality of the fragmentation functions.

Figures (4)

• Figure 1: Illustration of the kinematics for the azimuthal distribution of hadrons inside a jet in $pp$ scattering.
• Figure 2: Gluon exchange diagrams contributions to the Collins asymmetry in $pp$ collisions. The short bars indicate the pole contributions to the phase needed for a non-vanishing SSA. The additional two cuts in (d) cancel out each other.
• Figure 3: Factorize the contributions from Fig. \ref{['fig2']} into the hard partonic cross section multiplied by the universal Collins fragmentation function. The short bars indicate the pole contribution to the Collins function.
• Figure 4: Collins SSAs calculated from Eq. (\ref{['e8']}) for pions in a jet in $pp$ collision at $\sqrt{s}=200GeV$ at RHIC: left panel as functions of the jet rapidity $y_1$; right panel as functions of the jet transverse momentum $P_\perp$.