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

Journal Article · Thu May 01 04:00:00 EDT 1997 · Nucl.Phys. B512 (1998) 393-428

OSTI ID:756466

Chang, S; Coriano, C; Field, R D; Gordon, L E

A study of the order {alpha}{sub s}{sup 2} corrections to the Drell-Yan (non-singlet) cross section for incoming states of arbitrary longitudinal helicities is presented. The study is performed in the case of the transverse momentum distributions, q{sub T}, of the lepton pair and extends the calculation of Ellis Martinelli and Petronzio (EMP) to the polarized case. They use the {ovr MS} scheme and the t'Hooft-Veltman regularization for the helicity projectors. From their 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 heavy photon momentum. They show that in the {ovr MS} helicity is not conserved, unless a finite renormalization is done to reenter into a physical ({ovr MS}{sub p}) scheme. This aspect of the calculation follows the same trend as in polarized production of single and double photon to O({alpha}{sub s}{sup 2}). In the unpolarized limit they reproduce all the results of EMP.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 756466
• Report Number(s): DOE/ER/40150-1560; JLAB-THY-97-47; hep-ph/9705249; UFIFT--HEP-97-13; ANL-HEP-PR-97-12
• Journal Information: Nucl.Phys. B512 (1998) 393-428, Journal Name: Nucl.Phys. B512 (1998) 393-428 Journal Issue: 512 Vol. B
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
DIFFERENTIAL CROSS SECTIONS
DRELL MODEL
HADRON-HADRON INTERACTIONS
HELICITY
LEPTONS
PAIR PRODUCTION
POLARIZED BEAMS
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
TRANSVERSE MOMENTUM