$\Lambda_c^{\pm}$ production in pp collisions with a new fragmentation function

We study inclusive $\Lambda_c^{\pm}$-baryon production in $pp$ collisions in the general-mass variable-flavor number scheme and compare with data from the LHCb, ALICE and CMS collaborations. We perform a new fit of the $c \to \Lambda_c^+$ fragmentation function combining $e^+e^-$ data from OPAL and Belle. The agreement with LHC data is slightly worse compared with a calculation using an older fragmentation function, and the tension between different determinations of $\Lambda_c^{\pm}$ production cross sections from the LHC experimental collaborations is not resolved. The ratio of data for $\Lambda_c^+$-baryon and $D^0$-meson production seems to violate the universality of $c$-charm quark to $c$-hadron fragmentation.