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R. Hobbs For the PHENIX collaboration University of New Mexico. Asymmetry of Jet k T in Longitudinal Polarized p+p Collisions in PHENIX at RHIC. Outline. Measuring transverse momentum of partons in the proton Looking for a correlation of this measurement with spin direction
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R. Hobbs For the PHENIX collaboration University of New Mexico Asymmetry of Jet kT in Longitudinal Polarized p+p Collisions in PHENIX at RHIC
Outline • Measuring transverse momentum of partons in the proton • Looking for a correlation of this measurement with spin direction • Initial measurements in Run03 • Status of Run05 • Summary Oct. 27, 2005 2
* jet jTN jet fragmentation transverse momentum, jT-scaling. kT2F-2N parton transverse momentum,intrinsic + NLO radiative corrections. kT, jT from azimuthal correl. fragmentation Oct. 27, 2005 3
Origin of kT An example - J/ production. Breaks collinear factorization pTJ/=1.80.230.16 GeV/c Phys. Rev. Lett. 92, 051802, (2004). Oct. 27, 2005 4
Longitudinal jet jet transverse • acoplanar in PL PT space • acoplanar in PX PY space Hard Scattering kT Longitudinal transverse • acoplanar in PL PT space • collinear in PX PY space Oct. 27, 2005 5
kT from Orbital Motion kT larger kT smaller One can consider the possibility that spin-correlated transverse momentum (orbital angular momentum) may contribute to jet kT. e.g., Meng Ta-chung et al., Phys. Rev. D 40 (1989) Oct. 27, 2005 6
o - h correlation functions d+Au Azimuthal correlation function Not corrected for acceptance Corrected for acceptance F Oct. 27, 2005 7
p2out = p2Ta sin2 2k2Tyz2a 2k2Tyz2tx2hxh= pTa /pTt pTt jT jT pTa Jet kinematics partonic hadronic Oct. 27, 2005 8
Spin Sorted Analysis • Do exactly the same analysis sorted on same and opposite helicity bunch crossings, extract <zkt>RMS and look at the difference. Same Helicity Opposite Helicity C(Δφ) C(Δφ) Δφ Δφ Oct. 27, 2005 9
Run03 Data Like sign Unlike sign trigger π0 1< pTt<3 Gev/c 3<pTt<7 Gev/c Associated h 1< pTa<2.5 Gev/c Oct. 27, 2005 10
Systematic Check RMS = 45 • Helicity assignments are randomized, and then the kT difference calculated for each randomized set. • The width of the distribution for all the randomized sets should be the same as our statistical errors on the previous plot. RMS = 90 Oct. 27, 2005 11
Run03 Data Its too early to make a definite statement about the apparent excess as the systematic uncertainties are being evaluated. However, there is an ongoing analysis of 10x more stat. and 2x better polarization in run05 should yield a definite answer. BS variance Oct. 27, 2005 12
Summary • We have an analysis tool that allows us to measure kT - initial state transverse momentum of partons. • We are studying this effect in longitudinal spin-sorted collisions to see if there is a spin-dependent coherent component of kT. • Is there a connection to parton OAM? Theoretical guidance needed! Outlook • Run05 has ~x10 statistics, so that the uncertainty reduced by factor 2-3. • It has ~x2 in polarization, so the effect grows by ~x4. Oct. 27, 2005 13