# Reference results for time-like evolution up to $\mathcal{O}(α_s^3)$

2 Jan 2015Valerio BertoneStefano CarrazzaEmanuele R. Nocera

We present high-precision numerical results for time-like Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution in the $\bar{\rm MS}$ factorisation scheme, for the first time up to next-to-next-to-leading order accuracy in quantum chromodynamics. First, we scrutinise the analytical expressions of the splitting functions available in the literature, in both x and N space, and check their mutual consistency... (read more)

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