Disentangling long and short distances in momentum-space TMDs
Abstract The extraction of nonperturbative TMD physics is made challenging by prescriptions that shield the Landau pole, which entangle long- and short-distance contributions in momentum space. The use of different prescriptions then makes the comparison of fit...
| Hlavní autoři: | , , , |
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| Další autoři: | |
| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Springer Berlin Heidelberg
2022
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| On-line přístup: | https://hdl.handle.net/1721.1/144003 |
| _version_ | 1826212009222340608 |
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| author | Ebert, Markus A. Michel, Johannes K. L. Stewart, Iain W. Sun, Zhiquan |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ebert, Markus A. Michel, Johannes K. L. Stewart, Iain W. Sun, Zhiquan |
| author_sort | Ebert, Markus A. |
| collection | MIT |
| description | Abstract
The extraction of nonperturbative TMD physics is made challenging by prescriptions that shield the Landau pole, which entangle long- and short-distance contributions in momentum space. The use of different prescriptions then makes the comparison of fit results for underlying nonperturbative contributions not meaningful on their own. We propose a model-independent method to restrict momentum-space observables to the perturbative domain. This method is based on a set of integral functionals that act linearly on terms in the conventional position-space operator product expansion (OPE). Artifacts from the truncation of the integral can be systematically pushed to higher powers in ΛQCD/kT. We demonstrate that this method can be used to compute the cumulative integral of TMD PDFs over
k
T
≤
k
T
cut
$$ {k}_T\le {k}_T^{\mathrm{cut}} $$
in terms of collinear PDFs, accounting for both radiative corrections and evolution effects. This yields a systematic way of correcting the naive picture where the TMD PDF integrates to a collinear PDF, and for unpolarized quark distributions we find that when renormalization scales are chosen near
k
T
cut
$$ {k}_T^{\mathrm{cut}} $$
, such corrections are a percent-level effect. We also show that, when supplemented with experimental data and improved perturbative inputs, our integral functionals will enable model-independent limits to be put on the non-perturbative OPE contributions to the Collins-Soper kernel and intrinsic TMD distributions. |
| first_indexed | 2024-09-23T15:15:02Z |
| format | Article |
| id | mit-1721.1/144003 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:15:02Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1440032023-12-08T17:29:51Z Disentangling long and short distances in momentum-space TMDs Ebert, Markus A. Michel, Johannes K. L. Stewart, Iain W. Sun, Zhiquan Massachusetts Institute of Technology. Center for Theoretical Physics Abstract The extraction of nonperturbative TMD physics is made challenging by prescriptions that shield the Landau pole, which entangle long- and short-distance contributions in momentum space. The use of different prescriptions then makes the comparison of fit results for underlying nonperturbative contributions not meaningful on their own. We propose a model-independent method to restrict momentum-space observables to the perturbative domain. This method is based on a set of integral functionals that act linearly on terms in the conventional position-space operator product expansion (OPE). Artifacts from the truncation of the integral can be systematically pushed to higher powers in ΛQCD/kT. We demonstrate that this method can be used to compute the cumulative integral of TMD PDFs over k T ≤ k T cut $$ {k}_T\le {k}_T^{\mathrm{cut}} $$ in terms of collinear PDFs, accounting for both radiative corrections and evolution effects. This yields a systematic way of correcting the naive picture where the TMD PDF integrates to a collinear PDF, and for unpolarized quark distributions we find that when renormalization scales are chosen near k T cut $$ {k}_T^{\mathrm{cut}} $$ , such corrections are a percent-level effect. We also show that, when supplemented with experimental data and improved perturbative inputs, our integral functionals will enable model-independent limits to be put on the non-perturbative OPE contributions to the Collins-Soper kernel and intrinsic TMD distributions. 2022-07-25T12:34:07Z 2022-07-25T12:34:07Z 2022-07-20 2022-07-24T03:11:55Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/144003 Journal of High Energy Physics. 2022 Jul 20;2022(7):129 PUBLISHER_CC en https://doi.org/10.1007/JHEP07(2022)129 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Ebert, Markus A. Michel, Johannes K. L. Stewart, Iain W. Sun, Zhiquan Disentangling long and short distances in momentum-space TMDs |
| title | Disentangling long and short distances in momentum-space TMDs |
| title_full | Disentangling long and short distances in momentum-space TMDs |
| title_fullStr | Disentangling long and short distances in momentum-space TMDs |
| title_full_unstemmed | Disentangling long and short distances in momentum-space TMDs |
| title_short | Disentangling long and short distances in momentum-space TMDs |
| title_sort | disentangling long and short distances in momentum space tmds |
| url | https://hdl.handle.net/1721.1/144003 |
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