Abstract:both cross-sections are presented. OCR Output compact analytical expressions for the matrix elements for all the direct contributions to HERA where we study in detail the scale dependence of the cross section. ln addition solved photons and apply the results to ¢r° production at LEP2 as well as at the ep collider hadron photoproduction. We take into account all contributions from resolved and unreWe present a complete calculation of next-to-leading order (NLO) corrections to inclusive February 19921 /gu/g4{O_f… Show more
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.
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.
“…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. With this knowledge we can compute the finite mass corrections for the full NLO single-resolved cross section with MS factorization.…”
Section: Introductionmentioning
confidence: 90%
“…Therefore in this paper we need to establish the finite subtraction terms only for the non-Abelian part proportional to N C and for the cross section of γ + q → c +c + q. We write the result again in a form which has been introduced in the calculation for massless quarks by Gordon [11]. This will allow us to identify the subtraction terms we are looking for.…”
Section: The Subprocess γ + Q → C +C + Qmentioning
confidence: 99%
“…In Section 2 we describe the formulae which we use to calculate the non-Abelian part of the cross section for γ + g → c(c) + X and for γ + q → c(c) + X with non-zero charm mass using the results of [10]. From these cross sections we derive the limit m → 0 and compare with the ZM theory of [11]. The results are reported in Section 3, where also numerical tests for checking the subtraction terms are presented.…”
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.
“…[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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