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

Abstract

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.

Authors:
; ;  [1];  [2]
  1. Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
  2. Argonne National Lab., IL (United States)
Publication Date:
Research Org.:
Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
Sponsoring Org.:
USDOE Office of Energy Research, Washington, DC (United States)
OSTI Identifier:
510399
Report Number(s):
DOE/ER/40272-275; UFIFT-HEP-97-13; ANL-HEP-PR-97-12
ON: DE97007995; TRN: 97:014532
DOE Contract Number:  
FG05-86ER40272
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: May 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; QUANTUM CHROMODYNAMICS; DRELL MODEL; DIFFERENTIAL CROSS SECTIONS; RADIATIVE CORRECTIONS; SPIN; LEPTONS; PAIR PRODUCTION; VIRTUAL PARTICLES; HELICITY

Citation Formats

Chang, S, Coriano, C, Field, R D, and Gordon, L E. Spin dependent Drell Yan in QCD to O({alpha}{sub s}{sup 2}) (I). (The non-singlet sector). United States: N. p., 1997. Web. doi:10.2172/510399.
Chang, S, Coriano, C, Field, R D, & Gordon, L E. Spin dependent Drell Yan in QCD to O({alpha}{sub s}{sup 2}) (I). (The non-singlet sector). United States. https://doi.org/10.2172/510399
Chang, S, Coriano, C, Field, R D, and Gordon, L E. Thu . "Spin dependent Drell Yan in QCD to O({alpha}{sub s}{sup 2}) (I). (The non-singlet sector)". United States. https://doi.org/10.2172/510399. https://www.osti.gov/servlets/purl/510399.
@article{osti_510399,
title = {Spin dependent Drell Yan in QCD to O({alpha}{sub s}{sup 2}) (I). (The non-singlet sector)},
author = {Chang, S and Coriano, C and Field, R D and Gordon, L E},
abstractNote = {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.},
doi = {10.2172/510399},
url = {https://www.osti.gov/biblio/510399}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1997},
month = {5}
}