Erratum: Next-to-leading order corrections to heavy flavor production in longitudinally polarized photon-nucleon collisions [Phys. Rev. D62, 114509 (2000)]
Abstract:A complete next-to-leading order calculation of longitudinally polarized heavy quark photoproduction is presented. All results of the purturbative calculation are given in detail. For reactions and energies of interest cross sections differential in the transverse momentum and rapidity of the heavy quark, total cross sections and the corresponding asymmetries are given. Errors in the asymmetries are estimated and the possibility to distinguish between various scerarios of the polarized gluon distribution is di… Show more
“…Therefore, only the non-Abelian part of the NLO corrections to the photon-gluon fusion cross section and the cross section for γ + q → c + c + q have to be investigated. The single-inclusive charm cross section with m = 0 has been calculated recently by Merebashvili et al [10]. We can use these results to derive the limit m → 0 and establish the subtraction terms by comparing to the MS factorized cross section derived in [11], in the same way as we did in [8] for the Abelian part.…”
We have calculated the next-to-leading order cross section for the inclusive production of charm quarks as a function of the transverse momentum p T and the rapidity in two approaches using massive or massless charm quarks. For the singleresolved cross section we have derived the massless limit from the massive theory. We find that this limit differs from the genuine massless version with MS factorization by finite corrections. By adjusting subtraction terms we establish a massive theory with MS subtraction which approaches the massless theory very fast with increasing transverse momentum. With these results and including the equivalent results for the direct cross section obtained previously as well as double-resolved contributions, we calculate the inclusive D * ± cross section in γγ collisions using realistic evolved non-perturbative fragmentation functions and compare with recent data from the LEP collaborations ALEPH, L3 and OPAL. We find good agreement.
“…Therefore, only the non-Abelian part of the NLO corrections to the photon-gluon fusion cross section and the cross section for γ + q → c + c + q have to be investigated. The single-inclusive charm cross section with m = 0 has been calculated recently by Merebashvili et al [10]. We can use these results to derive the limit m → 0 and establish the subtraction terms by comparing to the MS factorized cross section derived in [11], in the same way as we did in [8] for the Abelian part.…”
We have calculated the next-to-leading order cross section for the inclusive production of charm quarks as a function of the transverse momentum p T and the rapidity in two approaches using massive or massless charm quarks. For the singleresolved cross section we have derived the massless limit from the massive theory. We find that this limit differs from the genuine massless version with MS factorization by finite corrections. By adjusting subtraction terms we establish a massive theory with MS subtraction which approaches the massless theory very fast with increasing transverse momentum. With these results and including the equivalent results for the direct cross section obtained previously as well as double-resolved contributions, we calculate the inclusive D * ± cross section in γγ collisions using realistic evolved non-perturbative fragmentation functions and compare with recent data from the LEP collaborations ALEPH, L3 and OPAL. We find good agreement.
“…(ii) In a publication by two of us [32], subtraction terms for the non-Abelian part of the process γg → QQg have been derived by comparing the zero-mass limit of Ref. [43] with the massless theory of Ref. [44], which do not meet the expectations of mass factorization in Sec.…”
We present a detailed discussion of the collinear subtraction terms needed to establish a massive variable-flavour-number scheme for the one-particle inclusive production of heavy quarks in hadronic collisions. The subtraction terms are computed by convoluting appropriate partonic cross sections with perturbative parton distribution and fragmentation functions relying on the method of mass factorization. We find (with one minor exception) complete agreement with the subtraction terms obtained in a previous publication by comparing the zero-mass limit of a fixed-order calculation with the genuine massles results in the MS scheme. This presentation will be useful for extending the massive variable-flavour-number scheme to other processes.
“…[8], two of us found in the calculation of the massless limit of the formulas published in Ref. [25] unexpected subtraction terms ∆c 1 , ∆c 1 , ∆c 2 , and ∆c 11 given in Eqs. (43), (45), (47), and (57) of Ref.…”
Section: Comparison Of Zm-vfns and Gm-vfns Resultsmentioning
confidence: 99%
“…[8]. In the non-Abelian part, the finite subtraction terms were calculated by comparing the FFNS calculation by Merebashvili et al [25] with the ZM-VFNS calculation by Gordon [26]. In Ref.…”
Section: Comparison Of Zm-vfns and Gm-vfns Resultsmentioning
We discuss the inclusive production of D * ± mesons in γp collisions at DESY HERA, based on a calculation at next-to-leading order in the general-mass variable-flavornumber scheme. In this approach, MS subtraction is applied in such a way that large logarithmic corrections are resummed in universal parton distribution and fragmentation functions and finite mass terms are taken into account. We present detailed numerical results for a comparison with data obtained at HERA and discuss various sources of theoretical uncertainties.
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