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Fully analytical O(α s ) results for on-shell and off-shell polarized W-boson decays into massive quark pairs

  • S. GrooteEmail author
  • J. G. Körner
  • P. Tuvike
Regular Article - Theoretical Physics

Abstract

We provide analytical O(α s ) results for the three polarized decay structure functions H ++, H 00 and H −− that describe the decay of a polarized W boson into massive quark–antiquark pairs. As an application we consider the decay tb+W + involving the helicity fractions ρ mm of the W + boson followed by the polarized decay \(W^{+}(\uparrow)\to q_{1}\bar{q}_{2}\) described by the polarized decay structure functions H mm . We thereby determine the O(α s ) polar angle decay distribution of the cascade decay process \(t\to b+W^{+}(\to q_{1}\bar{q}_{2})\). As a second example we analyze quark mass and off-shell effects in the cascade decays \(H\to W^{-}+W^{\ast+}(\to q_{1}\bar{q}_{2})\) and \(H\to Z+Z^{\ast}(\to q\bar{q})\). For the decays \(H\to W^{-}+W^{\ast+}(\to c\bar{b})\) and \(H\to Z+Z^{\ast}(\to b\bar{b})\) we find substantial deviations from the mass-zero approximation in particular in the vicinity of the threshold region.

Keywords

Gauge Boson Radiative Correction Density Matrix Element Decay Distribution Scalar Contribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work was supported by the Estonian target financed project No. 0180056s09, and by the Estonian Science Foundation under grant No. 8769. J.G.K. would like to acknowledge useful discussions with B. Jäger and K. Schilcher. S.G. acknowledges the support by the Deutsche Forschungsgemeinschaft (DFG) under Grant No. 436 EST 17/1/06 and by the Forschungszentrum of the Johannes-Gutenberg-Universität Mainz “Elementarkräfte und Mathematische Grundlagen (EMG)”.

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  1. 1.Loodus- ja Tehnoloogiateaduskond, Füüsika InstituutTartu ÜlikoolTartuEstonia
  2. 2.PRISMA Cluster of Excellence, Institut für PhysikJohannes-Gutenberg-UniversitätMainzGermany

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