Factorization scheme dependence of the NLO inclusive jet cross section

We study the factorization scheme dependence of the next-to-leading order inclusive one jet cross section $d\sigma {/dE}_T.$ The scheme is varied parametrically along the direction that transforms the $\overline{\mathrm{MS}}$ scheme to the DIS scheme: we introduce a parameter $\lambda$ such that $\lambda =0\mathrm{}$ is $\overline{\mathrm{MS}}$ and $\lambda =1\mathrm{}$ is DIS. The factorization scale $\mu$ is also varied. We observe a change of $\pm 9\%$ in the cross section for $E_T=50\mathrm{}\hspace{0.5em}\mathrm{GeV}$ when $\mu$ and $\lambda$ are varied in the range $-2<~\lambda <~2,\hspace{0.5em}{E}_T/8\mathrm{}<~\mu <~{2E}_T.$ This grows to $\pm 32\%$ for $E_T=400\mathrm{}\hspace{0.5em}\mathrm{GeV}.$