IR-Improved DGLAP Theory

Abstract

We show that it is possible to improve the infrared aspects of the standard treatment of the DGLAP evolution theory to take into account a large class of higher order corrections that significantly improve the precision of the theory for any given level of fixed-order calculation of its respective kernels. We illustrate the size of the effects we resum using the moments of the parton distributions.

17 pages originally, 1 figure; improved text with 3 added pages; improved text; 1 added figure; improved text; improved text; improved text;improved text to 26 pages

References in corpus (11)

• Parton distributions incorporating QED contributions
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Higher-Order Corrections in Threshold Resummation
• What exactly is a parton density?
• ${\alpha }_s$ at Zinnowitz 2004
• All-orders resummation for diphoton production at hadron colliders
• Soft-gluon resummation effects on parton distributions
• Measurement of the Cross Section for Prompt Diphoton Production in p-pbar Collisions at sqrt(s) = 1.96 TeV
• Threshold Corrections in Precision LHC Physics: QED otimes QCD
• Recent Progress in Parton Distributions and Implications for LHC Physics
• Threshold Corrections in QED otimes QCD at the LHC

Cited by in corpus (14)

• Measurement of the forward $Z$ boson production cross-section in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• New Developments in Precision LHC Theory: QEDXQCD Exponentiation, Shower/ME Matching, IR-Improved DGLAP-CS Theory and Implications for UV Finite Quantum Gravity
• Weakly-induced strong CP-violation
• $\mathcal{KK}\text{MC-hh}$: Resummed Exact $\mathcal{O}({\alpha }^{2}L)$ EW Corrections in a Hadronic MC Event Generator
• HERWIRI1.0: MC Realization of IR-Improved DGLAP-CS Parton Showers
• New Approach to Parton Shower MC's for Precision QCD Theory: HERWIRI1.0(31)
• Phenomenology of the Interplay between IR-Improved DGLAP-CS Theory and NLO ME Matched Parton Shower MC Precision
• Phenomenological Study of the Interplay between IR-Improved DGLAP-CS Theory and the Precision of an NLO ME Matched Parton Shower MC
• MC Realization of IR-Improved DGLAP-CS Parton Showers: HERWIRI1.0
• IR-Improved DGLAP-CS QCD Parton Showers in Pythia8
• New Approach to Hard Corrections in Precision QCD for LHC and FCC Physics
• Interplay between IR-Improved DGLAP-CS Theory and the Precision of an NLO ME Matched Parton Shower MC in Relation to LHCb Data
• IR-improved DGLAP parton shower effects in W + jets in pp collisions at $\sqrt{s}=7$ TeV
• IR-Improved Operator Product Expansions in non-Abelian Gauge Theory