Study of the Standard Model W angular coefficients and associated helicity cross sections at hadron colliders.

Astronomy and Astrophysics – Astrophysics

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We present the Standard Model prediction for the W angular coefficients and the corresponding helicity cross sections at hadron colliders. There are eight angular coefficients, four of which are present in high transverse momentum events associated with the production of a jet, while the last three ones are related to gluon loops and they are T-odd and P-odd, thus a probable source of CP violation in W production and decay. All angular coefficients are ratios of the W helicity cross sections and the unpolarized total W cross section. If the W is produced with zero transverse momentum, its spin is parallel to the beam-axis and only one coefficient survives, giving us the familiar formula (dσ/(dp_T^Wd\cosθ)=(1±\cosθ)^2, where θ is the azimuthal angle of the final state charged lepton in the W^mp rest frame), if only valence quarks contribute to the W production. In the case of W production with non-trivial transverse momentum, the differential W cross section is more involved and also a function of the polar angle of the charged lepton. We discuss a method of experimentally extracting the W angular coefficients and helicity cross sections using W+jet events at next-to-leading order in QCD (gluon loops), without dividing the data with any Monte Carlo isotropic gauge boson decays, as it was proposed in the past.

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