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Hybrid scheme for heavy flavors: Merging the fixed flavor number scheme and variable flavor number scheme

Abstract : We introduce a Hybrid Variable Flavor Number Scheme for heavy flavors, denoted H-VFNS, which incorporates the advantages of both the traditional Variable Flavor Number Scheme (VFNS) as well as the Fixed Flavor Number Scheme (FFNS). By including an explicit NF-dependence in both the Parton Distribution Functions (PDFs) and the strong coupling constant \alpha_S, we generate coexisting sets of PDFs and \alpha_S for NF={3,4,5,6} at any scale \mu, that are related analytically by the MS-bar matching conditions. The H-VFNS resums the heavy quark contributions and provides the freedom to choose the optimal NF for each particular data set. Thus, we can fit selected HERA data in a FFNS framework, while retaining the benefits of the VFNS to analyze LHC data at high scales. We illustrate how such a fit can be implemented for the case of both HERA and LHC data.
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http://hal.in2p3.fr/in2p3-00841171
Contributor : Emmanuelle Vernay <>
Submitted on : Thursday, July 4, 2013 - 9:23:08 AM
Last modification on : Thursday, November 19, 2020 - 12:58:50 PM

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A. Kusina, F.I. Olness, I. Schienbein, T. Jezo, K. Kovarik, et al.. Hybrid scheme for heavy flavors: Merging the fixed flavor number scheme and variable flavor number scheme. Physical Review D, American Physical Society, 2013, 88, pp.074032. ⟨10.1103/PhysRevD.88.074032⟩. ⟨in2p3-00841171⟩

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