Heavy quarks in deep-inelastic scattering

By S. Forte, E. Laenen, P. Nason, Juan Rojo. 2010

266 citations recorded by the source corpus.

We discuss a general framework for the inclusion of heavy quark mass contributions to deep-inelastic structure functions and their perturbative matching to structure functions computed in variable-mass schemes. Our approach is based on the so-called FONLL method, previously introduced and applied to heavy quark hadroproduction and photoproduction. We define our framework, provide expressions up to second order in the strong coupling, and use them to construct matched expressions for structure functions up to NNLO. After checking explicitly the consistency of our results, we perform a study of the phenomenological impact of heavy quark terms, and compare results obtained at various perturbative orders, and with various prescriptions for the treatment of subleading terms, specifically those related to threshold behaviour. We also consider the heavy quark structure function F2c and discuss issues related to the presence of mass singularities in their coefficient functions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b922afc57e3a346f3b2f190c8577c7b631dbf145

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Citations in the corpus

Parton distributions for the LHC run II (2014, methodology): “These are called respectively FONLL-A and FONLL-B schemes [133].”
Parton distribution benchmarking with LHC data (2012, methodology): “1 release this uses the FONLL VFNS at NNLO [15], and now also includes relevant LHC data for which the experimental correlation matrix is available.”
Progress in the Determination of the Partonic Structure of the Proton (2013, background): “Currently, splitting functions are known up to NNLO [60, 61], and coefficient functions are known up to NNLO for several processes used for PDF determination, such as Drell–Yan rapidity distributions [62], though not yet for jet production (for DIS they are even known up to N3LO [63, 64]).”
Illuminating the photon content of the proton within a global PDF analysis (2017, methodology): “Heavy-quark mass effects in the structure functions are included using the FONLL general-mass variable-flavour-number scheme [109], and the charm PDF is fitted to data on an equal footing as the light quark and gluon PDFs [110–112].”
The PDF4LHC report on PDFs and LHC data: Results from Run I and preparation for Run II (2015, methodology): “Heavy quark mass effects are computed in the FONLL General-Mass variableflavor number scheme [84], with the main difference being that at NLO it is the FONLL-B scheme that is used, rather than FONLL-A as previously, since this provides a better description of the low-Q2 charm production data.”
The Structure of the Proton in the LHC Precision Era (2017, background): “Finally, it is important to note that there are subtleties associated with the definition of Fc 2(x,Q 2) starting at O ( α(2)s ) [149, 167].”
PDF4LHC recommendations for LHC Run II (2015, methodology): “1 [39] which used the FONLL general-mass variable flavour number scheme (GM-VFN scheme) described in [40], and this automatically improved general agreement with CT and MSTW PDFs.”
A critical appraisal and evaluation of modern PDFs (2016, methodology): “The values of χ2/NDP for the description of the HERA data have been determined with the FONLL-C [162] scheme.”
Parton distributions from high-precision collider data (2017, methodology): “For each dataset, we compare the theoretical calculations at LO and in the FONLL-A, B and C [97] heavy-quark mass schemes.”
b-initiated processes at the LHC: a reappraisal (2012, methodology): “1 NLO set, based on a FONLL-A scheme which at NLO is equivalent to the ACOT scheme [51].”
Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report (2014, methodology): “This means that Fc is defined as the structure function that one would get if only the electromagnetic charge of the charm quark was nonzero [241, 243], and then Flt is implicitly defined by”