Abstract
The fragmentation functions D a→ H ( x, μ 2) of a heavy hadron H, with mass m H , satisfy the phase-space constraint D a→ H ( x, μ 2)=0 for x< m H 2/ μ 2, which is violated by the naive μ 2 evolution equations. Using appropriately generalized μ 2 evolution equations, we reconsider the inclusive hadroproduction of prompt J/ ψ mesons with high transverse momenta in the framework of the factorization formalism of nonrelativistic quantum chromodynamics, and determine the resulting shifts in the values of the leading colour-octet matrix elements, which are fitted to data from the Fermilab Tevatron.
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