Angular Distribution in Unpolarized Proton-induced Drell-Yan Process

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Presentation transcript:

Angular Distribution in Unpolarized Proton-induced Drell-Yan Process Lingyan Zhu Jen-Chieh Peng University of Illinois at Urbana-Champaign Paul Reimer Argonne National Laboratory FNAL E866/Nusea Collaboration Apr 12, 2008 APS Meeting at St. Louis, MO

Proton-induced Drell-Yan Process Towell et al., Phys.Rev. D64 (2001) 052002 Apr 12, 2008 APS meeting at St. Louis, MO

Angular Distribution in the Drell-Yan Process In the simple parton model: ( for massless quarks and  measured relative to the annihilation axis) =1 and ==0 Apr 12, 2008 APS meeting at St. Louis, MO

APS meeting at St. Louis, MO QCD Corrections The cross section is increased by a factor of ~2. The Lam-Tung relation holds in any reference frame. Lam & Tung, PRD21,2712(1980) The NLO correction at O(s2) to the angular distribution is small. Mirkes & Ohnemus, PRD51,,4891(1995) The Lam-Tung relation not affected by QCD resummation effects at small QT. Small corrections to lambda and nu in the Collins-Soper frame. Boer&Wogelsang, PRD74,014006(2006) Lam-Tung relation: a unique opportunity to test QCD-improved quark model. Apr 12, 2008 APS meeting at St. Louis, MO

Violation of the Lam-Tung Relation E615 at Fermilab: 252 GeV π- + W Conway et al., PRD39,92(1989) Brandenburg, Brodsky, Khoze & Muller, PRL73,939(1994) Apr 12, 2008 APS meeting at St. Louis, MO

cos2φ Distribution in the W Drell-Yan Conway et al., PRD39,92(1989) E615 at Fermilab: 252 GeV π- + W NA10 at CERN: 140/194/286 GeV π- + W Z. Phys. C37, 545 (1988) Apr 12, 2008 APS meeting at St. Louis, MO

Nuclear Effect? NA10 Z. Phys. C37, 545 (1988) Open: Deuterium Solid: Tungsten Nuclear effect seems not to be the dominant contribution. Apr 12, 2008 APS meeting at St. Louis, MO

APS meeting at St. Louis, MO QCD Vacuum Effect The factorization-breaking spin correlation due to nontrivial QCD vacuum may fit the NA10 data at 194 GeV Brandenburg, Nachtmann & Mirkes, Z. Phy. C60,697(1993) The helicity flip in the instanton-induced contribution may lead to nontrivial vacuum and violation of the Lam-Tung relation. Boer,Brandenburg,Nachtmann&Utermann, EPC40,55(2005). Brandenburg,Ringwald&Utermann, NPB754,107(2006). This vacuum effect should be flavor blind. 0=0.17 mT=1.5 Apr 12, 2008 APS meeting at St. Louis, MO

Leading-Twist Parton Distribution Functions Survive kT integration kT - dependent, T-even kT - dependent, T-odd Apr 12, 2008 APS meeting at St. Louis, MO

Boer-Mulders Function h1┴ An spin-correlation approach in terms of h1┴ can fit the NA10 data at 194 GeV. Boer, PRD60,014012(1999) There are different models to calculate the Boer-Mulders function in proton and pion. Boer,Brodsky&Hwang, PRD67,054003(2003); Gamberg&Goldstein, PLB650,362(2007); Lu&Ma, PRD70,094044(2004); PLB615,200(2005) 1=0.5 mC=2.3 T=CH=1 Apr 12, 2008 APS meeting at St. Louis, MO

Full Angular Distribution in p+d Drell-Yan L.Y. Zhu,J.C. Peng, P. Reimer et al., PRL99,082301(2007). No significant azimuthal asymmetry in p+d Drell-Yan. Apr 12, 2008 APS meeting at St. Louis, MO

Azimuthal cos2Φ Distribution in p+d Drell-Yan L.Y. Zhu,J.C. Peng, P. Reimer et al., PRL99,082301(2007). With Boer-Mulders function h1┴: ν(π-Wµ+µ-X)~ valence h1┴(π) * valence h1┴(p) ν(pdµ+µ-X)~ valence h1┴(p) * sea h1┴(p) Apr 12, 2008 APS meeting at St. Louis, MO

Angular Distribution in E866 p+p/p+d Drell-Yan Preliminary Preliminary Preliminary Preliminary PT (GeV/c) p+p and p+d Drell-Yan show similar angular distribution. Apr 12, 2008 APS meeting at St. Louis, MO

APS meeting at St. Louis, MO Summary Large cos2 azimuthal asymmetry has been observed in unpolarized -induced Drell-Yan. The Lam-Tung relation is violated. The are a few possible explanations including the non-trivial vacuum effect and the non-zero TMD Boer-Mulders function . The unpolarized p-induced Drell-Yan data show only percent-level cos2φ azimuthal asymmetry. This may disfavor the flavor blind explanation such as vacuum effect. More data on unpolarized Drell-Yan will be available from the future experiment E906 at FNAL with proton beam, and GSI with anti-proton beam, as well as some SIDIS data from JLab and HERMES. Apr 12, 2008 APS meeting at St. Louis, MO

APS meeting at St. Louis, MO Apr 12, 2008 APS meeting at St. Louis, MO