Generalized top-spin analysis and new physics in $e^{+}{e}^{-}$ collisions with beam polarization

Abstract

A generalized top-spin analysis proposed some time ago in the context of Standard Model and subsequently studied in varying contexts is now applied primarily to the case of $e^{+}{e}^{-}\to t\bar{t}$ with transversely polarized beams. This extends our recent work with new physics couplings of scalar ($S$) and tensor ($T$) types. We carry out a comprehensive analysis assuming only the electron beam to be transversely polarized, which is sufficient to probe these interactions, and also eliminates any azimuthal angular dependence due to standard model or new physics of vector ($V$) and axial-vector ($A$) type interactions. We then consider new physics of general four-Fermi type of $V$ and $A$ type with both beams transversely polarized and discuss implications with longitudinal polarization as well. The generalized spin bases are all investigated in the presence of either longitudinal or transverse beam polarization to look for appreciable deviation from the SM prediction in case of the new physics. 90% confidence level limits are obtained on the interactions for the generalized spin bases with realistic integrated luminosity. In order to achieve this we present a general discussion based on helicity amplitudes and derive a general transformation matrix that enables us to treat the spin basis. We find that beamline basis combined with transverse polarization provides an excellent window of opportunity both for $S$, $T$ and $V$, $A$ new physics, followed by the off diagonal basis. The helicity basis is shown to be the best in case of longitudinal polarization to look for new physics effectsdue to $V$ and $A$.

21 pages using revtex4-1

References in corpus (7)

• Effective four-fermion operators in top physics: a roadmap
• Lepton distribution as a probe of new physics in production and decay of the t quark and its polarization
• Measurement of ttbar Spin Correlation in ppbar Collisions Using the CDF II Detector at the Tevatron
• CP violation at a linear collider with transverse polarization
• A survey of top quark polarization at a polarized linear e^+ e^- collider
• Non-universal gauge boson $Z^{\prime }$ and the spin correlation of top quark pair production at $e^{-}{e}^{+}$ colliders
• Top-spin analysis of new scalar and tensor interactions in e^+ e^- collisions with beam polarization