Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-12-17
Phys.Lett. B325 (1994) 481-487
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX(RevTeX 2.0), 13 pages and 4 figures (not included, send upon request to cheung@nuhep1.phys.nwu.edu), NUHEP-TH-93-30 and
Scientific paper
10.1016/0370-2693(94)90043-4
Gluons cannot directly fragment into $B_c$ mesons until at order $\alpha_s^3$. However, the Altarelli-Parisi evolution of the $\bar b$-quark fragmentation functions $D_{\bar b \to B_c}(z)$ and $D_{\bar b \to B_c^*}(z)$ from the heavy quark mass scales up to the collider energy scale $Q$ can induce the gluon fragmentation functions $D_{g \to B_c}(z)$ and $D_{g \to B_c^*}(z)$, respectively, through the gluon splitting $g\to \bar b$ at the order $\alpha_s^3 \, {\rm log} (Q/m_{b,c})$. We will determine these induced gluon fragmentation functions. The $B_c$ meson productions due to the induced gluon fragmentation will be evaluated and compared to the productions by the direct $\bar b$-quark fragmentation. The contribution from the induced gluon fragmentation is found to be a significant portion of the total $B_c$ and $B_c^*$ meson productions, and therefore cannot be ignored.
Cheung Kingman
Yuan Tzu Chiang
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