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Optimal spin-quantization axes for the polarization of dileptons with large transverse momentum

Eric Braaten, Daekyoung Kang, Jungil Lee, Chaehyun Yu

Abstract

The leading-order parton processes that produce a dilepton with large transverse momentum predict that the transverse polarization should increase with the transverse momentum for almost any choice of the quantization axis for the spin of the virtual photon. The rate of approach to complete transverse polarization depends on the choice of spin quantization axis. We propose axes that optimize that rate of approach. They are determined by the momentum of the dilepton and the direction of the jet that provides most of the balancing transverse momentum.

Optimal spin-quantization axes for the polarization of dileptons with large transverse momentum

Abstract

The leading-order parton processes that produce a dilepton with large transverse momentum predict that the transverse polarization should increase with the transverse momentum for almost any choice of the quantization axis for the spin of the virtual photon. The rate of approach to complete transverse polarization depends on the choice of spin quantization axis. We propose axes that optimize that rate of approach. They are determined by the momentum of the dilepton and the direction of the jet that provides most of the balancing transverse momentum.

Paper Structure

This paper contains 13 equations, 1 figure.

Figures (1)

  • Figure 1: (color online). Polarization variable $\alpha$ for various spin-quantization axes as functions of $Q_T/Q$ for dileptons with invariant mass $Q = 3$ GeV at the Tevatron.