Spin dependent Drell Yan in QCD to O({alpha}{sub s}{sup 2}) (I). (The non-singlet sector)

Technical Report · Thu May 01 04:00:00 EDT 1997

DOI:https://doi.org/10.2172/510399· OSTI ID:510399

Chang, S; Coriano, C; Field, R D ^[1]; Gordon, L E ^[2]

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1. Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
2. Argonne National Lab., IL (United States)

A study of the order {alpha}{sub s}{sup 2} corrections to the Drell-Yan (non-singlet) differential cross section for incoming states of arbitrary longitudinal helicities is presented. The transverse momentum distributions, q{sub T}, of the lepton pair are studied and the calculations of Ellis, Martinelli, and Petronzio (EMP) are extended to include polarized initial states. The authors use the {ovr MS} scheme and the t`Hooft-Veltman regularization for the helicity projectors. From the results one can obtain the bulk of the totally inclusive NNLO cross section for the production of a Drell-Yan pair in the non-singlet sector by a simple integration over the virtual photon momentum. They show that in the {ovr MS} scheme helicity is not conserved along the quark lines, unless a finite renormalization is done and one adapts the physical ({ovr MS{sub p}}) scheme. This aspect of the calculation is similar to the O({alpha}{sub s}{sup 2}) polarized production of single and double photons. The spin averaged unpolarized differential cross sections agree with the EMP calculations.

• Research Organization: Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States)
• DOE Contract Number: FG05-86ER40272
• OSTI ID: 510399
• Report Number(s): DOE/ER/40272--275; UFIFT-HEP--97-13; ANL-HEP-PR--97-12; ON: DE97007995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIFFERENTIAL CROSS SECTIONS
DRELL MODEL
HELICITY
LEPTONS
PAIR PRODUCTION
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
SPIN
VIRTUAL PARTICLES