Specialized minimal PDFs for optimized LHC calculations
We present a methodology for the construction of parton distribution functions (PDFs) designed to provide an accurate representation of PDF uncertainties for specific processes or classes of processes with a minimal number of PDF error sets: specialized minimal PDF sets, or SM-PDFs. We construct the...
| Main Authors: | , , , |
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| Format: | Journal article |
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Springer Berlin Heidelberg
2016
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| _version_ | 1797073760754335744 |
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| author | Carrazza, S Forte, S Kassabov, Z Rojo, J |
| author_facet | Carrazza, S Forte, S Kassabov, Z Rojo, J |
| author_sort | Carrazza, S |
| collection | OXFORD |
| description | We present a methodology for the construction of parton distribution functions (PDFs) designed to provide an accurate representation of PDF uncertainties for specific processes or classes of processes with a minimal number of PDF error sets: specialized minimal PDF sets, or SM-PDFs. We construct these SM-PDFs in such a way that sets corresponding to different input processes can be combined without losing information, specifically as regards their correlations, and that they are robust upon smooth variations of the kinematic cuts. The proposed strategy never discards information, so that the SM-PDF sets can be enlarged by the addition of new processes, until the prior PDF set is eventually recovered for a large enough set of processes. We illustrate the method by producing SM-PDFs tailored to Higgs, top-quark pair, and electroweak gauge boson physics, and we determine that, when the PDF4LHC15 combined set is used as the prior, around 11, 4, and 11 Hessian eigenvectors, respectively, are enough to fully describe the corresponding processes. |
| first_indexed | 2024-03-06T23:26:39Z |
| format | Journal article |
| id | oxford-uuid:6a97a171-6a15-4f56-906e-ade214e4b822 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:26:39Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:6a97a171-6a15-4f56-906e-ade214e4b8222022-03-26T18:58:29ZSpecialized minimal PDFs for optimized LHC calculationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6a97a171-6a15-4f56-906e-ade214e4b822Symplectic Elements at OxfordSpringer Berlin Heidelberg2016Carrazza, SForte, SKassabov, ZRojo, JWe present a methodology for the construction of parton distribution functions (PDFs) designed to provide an accurate representation of PDF uncertainties for specific processes or classes of processes with a minimal number of PDF error sets: specialized minimal PDF sets, or SM-PDFs. We construct these SM-PDFs in such a way that sets corresponding to different input processes can be combined without losing information, specifically as regards their correlations, and that they are robust upon smooth variations of the kinematic cuts. The proposed strategy never discards information, so that the SM-PDF sets can be enlarged by the addition of new processes, until the prior PDF set is eventually recovered for a large enough set of processes. We illustrate the method by producing SM-PDFs tailored to Higgs, top-quark pair, and electroweak gauge boson physics, and we determine that, when the PDF4LHC15 combined set is used as the prior, around 11, 4, and 11 Hessian eigenvectors, respectively, are enough to fully describe the corresponding processes. |
| spellingShingle | Carrazza, S Forte, S Kassabov, Z Rojo, J Specialized minimal PDFs for optimized LHC calculations |
| title | Specialized minimal PDFs for optimized LHC calculations |
| title_full | Specialized minimal PDFs for optimized LHC calculations |
| title_fullStr | Specialized minimal PDFs for optimized LHC calculations |
| title_full_unstemmed | Specialized minimal PDFs for optimized LHC calculations |
| title_short | Specialized minimal PDFs for optimized LHC calculations |
| title_sort | specialized minimal pdfs for optimized lhc calculations |
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