On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions
Abstract We revisit our argument that shows that parton distribution functions (PDFs) in the $$\overline{\textrm{MS}}$$ MS ¯ scheme are non-negative in the perturbative region, with the dual goals of clarifying its theoretical underpinnings and elucidating its domain of validity. We specifically dis...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12681-1 |
| _version_ | 1797233320068644864 |
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| author | Alessandro Candido Stefano Forte Tommaso Giani Felix Hekhorn |
| author_facet | Alessandro Candido Stefano Forte Tommaso Giani Felix Hekhorn |
| author_sort | Alessandro Candido |
| collection | DOAJ |
| description | Abstract We revisit our argument that shows that parton distribution functions (PDFs) in the $$\overline{\textrm{MS}}$$ MS ¯ scheme are non-negative in the perturbative region, with the dual goals of clarifying its theoretical underpinnings and elucidating its domain of validity. We specifically discuss recent results proving that PDFs can turn negative at sufficiently low scale, we clarify quantitatively various aspects of our derivation of positivity in the perturbative region, and we provide an estimate for the scale above which PDF positivity holds. |
| first_indexed | 2024-04-24T16:14:17Z |
| format | Article |
| id | doaj.art-538de8f59e734ef4960065dfb6dd57d2 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:17Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-538de8f59e734ef4960065dfb6dd57d22024-03-31T11:32:04ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-0184311210.1140/epjc/s10052-024-12681-1On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributionsAlessandro Candido0Stefano Forte1Tommaso Giani2Felix Hekhorn3Tif Lab, Dipartimento di Fisica, Sezione di Milano, Università di Milano and INFNTif Lab, Dipartimento di Fisica, Sezione di Milano, Università di Milano and INFNDepartment of Physics and Astronomy, Vrije UniversiteitTif Lab, Dipartimento di Fisica, Sezione di Milano, Università di Milano and INFNAbstract We revisit our argument that shows that parton distribution functions (PDFs) in the $$\overline{\textrm{MS}}$$ MS ¯ scheme are non-negative in the perturbative region, with the dual goals of clarifying its theoretical underpinnings and elucidating its domain of validity. We specifically discuss recent results proving that PDFs can turn negative at sufficiently low scale, we clarify quantitatively various aspects of our derivation of positivity in the perturbative region, and we provide an estimate for the scale above which PDF positivity holds.https://doi.org/10.1140/epjc/s10052-024-12681-1 |
| spellingShingle | Alessandro Candido Stefano Forte Tommaso Giani Felix Hekhorn On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions European Physical Journal C: Particles and Fields |
| title | On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions |
| title_full | On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions |
| title_fullStr | On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions |
| title_full_unstemmed | On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions |
| title_short | On the positivity of $$\overline{\textrm{MS}}$$ MS ¯ parton distributions |
| title_sort | on the positivity of overline textrm ms ms ¯ parton distributions |
| url | https://doi.org/10.1140/epjc/s10052-024-12681-1 |
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