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Combination of aN$^3$LO PDFs and implications for Higgs production cross-sections at the LHC / MSHT Collaboration
We discuss how the two existing approximate N$^3$LO (aN$^3$LO) sets of parton distributions (PDFs) from the MSHT20 and NNPDF4.0 series can be combined for LHC phenomenology, both in the pure QCD case and for the QCD$\otimes$QED sets that include the photon PDF. [...]
arXiv:2411.05373 ; DESY-24-134 ; TIF-UNIMI-2024-17 ; Edinburgh 2024/9 ; CERN-TH-2024-167. - 22.
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Quantifying the interplay of experimental constraints in analyses of parton distributions / Jing, Xiaoxian (Southern Methodist U.) ; Cooper-Sarkar, Amanda (Oxford U.) ; Courtoy, Aurore (Mexico U.) ; Cridge, Thomas (DESY) ; Giuli, Francesco (CERN) ; Harland-Lang, Lucian (University Coll. London) ; Hobbs, T.J. (Argonne) ; Huston, Joey (Michigan State U.) ; Nadolsky, Pavel (Southern Methodist U.) ; Thorne, Robert S. (University Coll. London) et al.
Parton distribution functions (PDFs) play a central role in calculations for the Large Hadron Collider (LHC). To gain a deeper understanding of the emergence and interplay of constraints on the PDFs in the global QCD analyses, it is important to examine the relative significance and mutual compatibility of the experimental data sets included in the PDF fits. [...]
arXiv:2306.03918; ANL-182798; DESY-23-068; FERMILAB-PUB-23-276-T; MSUHEP-23-016; PITT-PACC-2315; SMU-HEP-23-02.- 2023-08-01 - 57 p. - Published in : Phys. Rev. D 108 (2023) 034029 Fulltext: 2306.03918 - PDF; FERMILAB-PUB-23-276-T - PDF; Fulltext from Publisher: PDF; External link: Fermilab Library Server

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The PDF4LHC21 combination of global PDF fits for the LHC Run III / PDF4LHC Working Group Collaboration
A precise knowledge of the quark and gluon structure of the proton, encoded by the parton distribution functions (PDFs), is of paramount importance for the interpretation of high-energy processes at present and future lepton-hadron and hadron-hadron colliders. Motivated by recent progress in the PDF determinations carried out by the CT, MSHT, and NNPDF groups, we present an updated combination of global PDF fits: PDF4LHC21. [...]
arXiv:2203.05506; Edinburgh 2021/31; FERMILAB-PUB-22-121-QIS-SCD-T; MSUHEP-22-010, Nikhef 2021-033; SMU-HEP-22-01.- 2022-07-05 - 94 p. - Published in : J. Phys. G 49 (2022) 080501 Fulltext: jt - PDF; 2203.05506 - PDF; Publication - PDF; Fulltext from Publisher: PDF; External link: Fermilab Library Server

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Parton Distribution Benchmarking with LHC Data / Ball, Richard D. (Edinburgh U.) ; Carrazza, Stefano (INFN, Milan ; Milan U.) ; Del Debbio, Luigi (Edinburgh U.) ; Forte, Stefano (INFN, Milan ; Milan U.) ; Gao, Jun (Southern Methodist U.) ; Hartland, Nathan (Edinburgh U.) ; Huston, Joey (Michigan State U.) ; Nadolsky, Pavel (Southern Methodist U.) ; Rojo, Juan (CERN) ; Stump, Daniel (Michigan State U.) et al.
We present a detailed comparison of the most recent sets of NNLO PDFs from the ABM, CT, HERAPDF, MSTW and NNPDF collaborations. We compare parton distributions at low and high scales and parton luminosities relevant for LHC phenomenology. [...]
arXiv:1211.5142; CERN-PH-TH-2012-263; CERN-PH-TH-2012-263.- 2013 - 49 p. - Published in : JHEP 04 (2013) 125 Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint

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The PDF4LHC Working Group Interim Report / Alekhin, Sergey (DESY, Zeuthen ; Serpukhov, IHEP) ; Alioli, Simone (DESY, Zeuthen) ; Ball, Richard D. (Edinburgh U.) ; Bertone, Valerio (Freiburg U.) ; Blumlein, Johannes (DESY, Zeuthen) ; Botje, Michiel (NIKHEF, Amsterdam) ; Butterworth, Jon (University Coll. London) ; Cerutti, Francesco (Barcelona U., ECM) ; Cooper-Sarkar, Amanda (Oxford U.) ; de Roeck, Albert (CERN ; Antwerp U. ; UC, Davis) et al.
This document is intended as a study of benchmark cross sections at the LHC (at 7 TeV) at NLO using modern parton distribution functions currently available from the 6 PDF fitting groups that have participated in this exercise. [...]
arXiv:1101.0536. - 2011. - 35 p.
Preprint - Full text

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The decoupling theorem in effective scalar field theory / Ball, Richard D. (CERN) ; Thorne, Robert S. (Rutherford)
We consider decoupling in the context of an effective quantum field theory of two scalar fields with well separated mass scales and a $Z_2\times Z_2$ symmetry. We first prove, using Wilson's exact renormalization group equation, that the theory is renormalizable, in the same way that we showed in a previous paper that theories with a single mass scale were renormalizable. [...]
hep-th/9404156; CERN-TH-7234-94; RAL-94-039; CERN-TH-7234-94; RAL-94-039.- Geneva : CERN, 1995 - 24 p. - Published in : Ann. Phys. 241 (1995) 368-393 Access to fulltext document: PDF; Fulltext: PDF; External link: hep-th/9404156 PDF - Please contact the library if you need to access this document.

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