Energy and angular distributions of the bottom quark in the electron-positron annihilation $e^+e^-\to b \, W^+ \, \bar{t}$

TL;DR

This paper analyzes the energy and angular distributions of bottom quarks produced in electron-positron collisions at energies relevant to the Compact Linear Collider, including potential effects of physics beyond the Standard Model through effective couplings.

Contribution

It provides detailed calculations of bottom quark distributions and asymmetries, incorporating beyond Standard Model effects via modified top-quark couplings.

Findings

Derived cross sections as functions of bottom quark energy and angle.

Calculated energy and angular asymmetries.

Investigated dependence of observables on collision energy.

Abstract

The distributions of the bottom quark in the process $e^+ e^- \to t \, \bar{t} \to b \, W^+ \, \bar{t}$ are considered at the $e^+ e^-$ energy corresponding to the first construction stage of the Compact Linear Collider. The cross sections of $e^+ e^- \to b \ldots$, as functions of the $b$-quark energy and angle with respect to the direction of the electron beam, are derived and calculated. The effects of physics beyond the Standard Model are included via the modified $\gamma t \bar{t}$ and $Z t \bar{t}$ couplings which naturally appear in effective field theories. In addition to the cross sections, the energy and angular asymmetries are calculated. The dependence of these observables on the $e^+ e^-$ energy is calculated, and features of this dependence are investigated.