Uncertainties on alpha_S in global PDF analyses and implications for predicted hadronic cross sections

Abstract

We determine the uncertainty on the strong coupling alpha_S due to the experimental errors on the data fitted in global analysis of hard-scattering data, within the standard framework of leading-twist fixed-order collinear factorisation in the MSbar scheme, finding that alpha_S(M_Z^2) = 0.1202^{+0.0012}_{-0.0015} at next-to-leading order (NLO) and alpha_S(M_Z^2) = 0.1171^{+0.0014}_{-0.0014} at next-to-next-to-leading order (NNLO). We do not address in detail the issue of the additional theory uncertainty on alpha_S(M_Z^2), but an estimate is +/-0.003 at NLO and at most +/-0.002 at NNLO. We investigate the interplay between uncertainties on alpha_S and uncertainties on parton distribution functions (PDFs). We show, for the first time, how both these sources of uncertainty can be accounted for simultaneously in calculations of cross sections, and we provide eigenvector PDF sets with different fixed alpha_S values to allow further studies by the general user. We illustrate the application of these PDF sets by calculating cross sections for W, Z, Higgs boson and inclusive jet production at the Tevatron and LHC.

45 pages, 17 figures. Grids can be found at http://projects.hepforge.org/mstwpdf/ and in LHAPDF V5.7.1. v2: version to appear in EPJC

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• High energy resummation of direct photon production at hadronic colliders
• Higher-spin particles at high-energy colliders
• Combining single and double parton scatterings in a parton shower
• Resummation prediction on the jet mass spectrum in one-jet inclusive production at the LHC
• Search for a light charged Higgs boson in $t\to H^{\pm }b$ decays, with $H^{\pm }\to cs$, in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Measurements of jet observables sensitive to $b$-quark fragmentation in $t\bar{t}$ events at the LHC with the ATLAS detector
• Heavy-quark production with $k_t$-factorization: The importance of the sea-quark distribution
• Search for flavor-changing neutral-current couplings between the top quark and the $Z$ boson with proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Higher Twist contributions to the Structure Functions F_2(x,Q^2) and g_2(x,Q^2)
• J/Psi production in proton induced collisions at FAIR
• Four boosted tops from a Regge gluon
• Measurement of jet activity in top quark events using the $e\mu$ final state with two $b$-tagged jets in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Impact of recent COMPASS data on polarized parton distributions and structure functions
• Observation of Single-Top-Quark Production in Association with a Photon Using the ATLAS Detector
• Measurement of the differential cross sections for top quark pair production as a function of kinematic event variables in pp collisions at sqrt(s) = 7 and 8 TeV
• Search for exotic decays of the Higgs boson to a pair of pseudoscalars in the $\mu \mu$bb and $\tau \tau$bb final states
• Measurement of the $t\bar{t}$ production cross-section using $e\mu$ events with b-tagged jets in pp collisions at $\sqrt{s}$=13 TeV with the ATLAS detector
• Measurements of the charge asymmetry in top-quark pair production in the dilepton final state at $\sqrt{s}=8$ TeV with the ATLAS detector
• Investigating the Quantum Properties of Jets and the Search for a Supersymmetric Top Quark Partner with the ATLAS Detector
• The QCD Running Coupling and its Measurement
• Threshold resummation for the production of a color sextet (antitriplet) scalar at the LHC
• The top-quark pair production cross section at next-to-next-to-leading logarithmic order
• The EMC ratios of ${}^{4}He$, ${}^{3}He$ and ${}^{3}H$ nuclei in the $k_t$ factorization framework using the Kimber-Martin-Ryskin unintegrated parton distribution functions
• Diffractive Higgs boson photoproduction in Ultraperipheral Collisions at LHC
• Search for heavy right-handed Majorana neutrinos in the decay of top quarks produced in proton$-$proton collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Exotic colored scalars at the LHC
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering
• Combined PDF and strong coupling uncertainties at the LHC with NNPDF2.0
• Measurement of the polarisation of single top quarks and antiquarks produced in the $t$-channel at $\sqrt{s}=13$ TeV and bounds on the $tWb$ dipole operator from the ATLAS experiment
• Evidence for the charge asymmetry in $pp\to t\bar{t}$ production at $\sqrt{s}=13$ TeV with the ATLAS detector
• Magnifying the ATLAS Stealth Stop Splinter: Impact of Spin Correlations and Finite Widths
• Measurement of $t\bar{t}$ production in association with additional $b$-jets in the $e\mu$ final state in proton-proton collisions at $\sqrt{s}$=13 TeV with the ATLAS detector
• Charmonium suppression in a baryon rich quark-gluon plasma
• J/$\psi$ suppression in a dense baryonic medium
• Theoretical Status of Higgs Production at Hadron Colliders in the SM
• Measurement of the $t\bar{t}$ production cross section in the $\tau$ + jets final state in $pp$ collisions at $\sqrt{s}=8$ TeV using the ATLAS detector
• Model-independent estimates for the Abelian Z' boson at modern hadron colliders
• NNLO QCD corrections to the resonant sneutrino/slepton production at Hadron Colliders
• Charged current deep inelastic scattering of muon neutrinos off ^{56}Fe
• Antiproton over proton and K${}^{-}$ over K${}^{+}$ multiplicity ratios at high $z$ in DIS
• Revisiting the constraints on the Supersymmetric Higgs sector at the Tevatron
• Measurement of the inclusive $\mathrm{t}\bar{\mathrm{t}}$ cross section in final states with at least one lepton and additional jets with 302 pb${}^{-1}$ of pp collisions at $\sqrt{s}$ = 5.02 TeV
• Determination of ${\alpha }_s$ and $m_c$ in deep-inelastic scattering
• Estimations for the Single Diffractive production of the Higgs boson at the Tevatron and the LHC
• A compression algorithm for the combination of PDF sets
• Measurement of top-quark pair production in association with charm quarks in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Recent QCD results from the Tevatron
• Gluon Polarization In Nucleon
• Measurement of jet substructure in boosted $t\bar{t}$ events with the ATLAS detector using 140 fb${}^{-1}$ of 13 TeV $pp$ collisions
• Accuracy and Precision in Collider Event Shapes
• Estimates for the Abelian $Z^{\prime }$ Couplings from the LHC Data
• Transverse momentum resummation for color sextet and antitriplet scalar production at the LHC
• Charmonium interaction in nuclear matter at FAIR
• The NNPDF1.2 parton set: implications for the LHC
• Scrutinizing a di-photon resonance at the LHC through Moscow zero
• Next-to-next-to-leading order QCD corrections to light Higgs pair production via vector boson fusion in type-II two-Higgs-doublet model
• Impact of Torsion Space-Time on $t\bar{t}$ observables at Hadron Colliders
• Measurement of differential cross-sections in $t\bar{t}$ and $t\bar{t}+$jets production in the lepton+jets final state in $pp$ collisions at $\sqrt{s}=13$ TeV using 140 fb${}^{-1}$ of ATLAS data
• Lattice measurement of α_s with a realistic charm quark
• Measurement of single top-quark production in the s-channel in proton$-$proton collisions at $\sqrt{\mathrm{s}}=13$ TeV with the ATLAS detector
• Parton distributions: HERA-Tevatron-LHC
• Top pair Asymmetries at Hadron colliders with general $Z^{\prime }$ couplings
• Higgs production in association with a single top quark at the LHC
• SUSY Enhancement of Heavy Higgs Production
• Monte Carlo Event Generators
• Next-to-Next-to-Leading Order QCD Corrections to Higgs Boson Pair Production
• Symmetry breaking effect on determination of polarized and unpolarized parton distributions
• Test of lepton flavour universality in $W$-boson decays into electrons and $\tau$-leptons using $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Phenomenology of the Higgs at the hadron colliders: from the Standard Model to Supersymmetry
• Impact of hidden heavy Higgs channels of VLB-Quarks below 1 TeV in 2HDM
• Search for Higgs bosons produced in association with a high-energy photon via vector-boson fusion and decaying to a pair of $b$-quarks in the ATLAS detector
• Measurement of the $t\bar{t}$ production cross-section and lepton differential distributions in $e\mu$ dilepton events from $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis)
• Search for a light CP-odd Higgs boson decaying into a pair of $\tau$-leptons in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Phenomenology of extra quarks at the LHC
• $\Psi (2s)$ production in $p+A$ collisions
• Excited State Effects in Nucleon Matrix Element Calculations
• Recent results of the CMS experiment
• The study of uncertainties in theory predictions in single inclusive jet production cross section using the APPLGRID package