Spin dependent Drell-Yan in QCD to O({alpha}{sub s}{sup 2}) (I). (The non-singlet sector)
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 (TJNAF), Newport News, VA (United States)
- 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; TRN: US0003068
- Journal Information:
- Nucl.Phys. B512 (1998) 393-428, Vol. B, Issue 512; Other Information: Submitted to Nucl.Phys. B512 (1998) 393-428; PBD: 1 May 1997
- Country of Publication:
- United States
- Language:
- English
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