Resummed jet rates for $e^+e^-$ annihilation into massive quarks

Abstract

Expressions for Sudakov form factors for heavy quarks are presented. They are used to construct resummed jet rates for up to four jets in $e^+e^-$ annihilation. The coefficients of leading and next-to-leading logarithmic corrections, mandatory for a combination with higher order matrix elements, are evaluated up to second order in $α_s$.

Figures (2)

• Figure 1: Effect of a $b$-mass of $5$ GeV on the single-flavour two- and three-jet rate at LEP1 energies as a function of the jet resolution parameter in the Durham scheme. In the left plot this effect is treated through the full inclusion of masses into the splitting function, see Eq. (\ref{['full']}), whereas in the plot on the right hand side this effect is modeled through the dead cone, see Eq. (\ref{['deadcone']}).
• Figure 2: The effect of a $t$-mass of $175$ GeV on the single-flavour two- and three-jet rate as a function of the jet resolution parameter, at a potential linear collider operating at c.m. energies of 500 GeV. Again, in the left plot this effect is treated through the full inclusion of masses into the splitting function, see Eq. (\ref{['full']}), whereas in the plot on the right hand side this effect is modeled through the dead cone, see Eq. (\ref{['deadcone']}).