Heavy-quark mass effects in off-light-cone distributions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915471922561024 |
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| author | Bertone, Valerio Fucilla, Michael Mezrag, Cédric |
| author_facet | Bertone, Valerio Fucilla, Michael Mezrag, Cédric |
| contents | We compute the one-loop correction to the forward matrix element of an off-light-cone bi-local quark correlator characterised by a space-like separation $z^2$ in the presence of heavy quarks with mass $m$. This calculation allows us to extract the one-loop matching kernel, necessary to connect quasi and pseudo-distributions to collinear parton distribution functions (PDFs), accounting for heavy-quark mass effects. Our result is exact in that it includes all powers of $z^2m^2$ at one loop in $α_s$. In the limit $z^2m^2\rightarrow 0$, it consistently reduces to the known massless result. We also carry out an implementation of our expression, which allows us to compute the charm pseudo-distribution of the proton given its PDF. We finally comment on the quantitative impact of heavy-quark mass corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15958 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Heavy-quark mass effects in off-light-cone distributions Bertone, Valerio Fucilla, Michael Mezrag, Cédric High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We compute the one-loop correction to the forward matrix element of an off-light-cone bi-local quark correlator characterised by a space-like separation $z^2$ in the presence of heavy quarks with mass $m$. This calculation allows us to extract the one-loop matching kernel, necessary to connect quasi and pseudo-distributions to collinear parton distribution functions (PDFs), accounting for heavy-quark mass effects. Our result is exact in that it includes all powers of $z^2m^2$ at one loop in $α_s$. In the limit $z^2m^2\rightarrow 0$, it consistently reduces to the known massless result. We also carry out an implementation of our expression, which allows us to compute the charm pseudo-distribution of the proton given its PDF. We finally comment on the quantitative impact of heavy-quark mass corrections. |
| title | Heavy-quark mass effects in off-light-cone distributions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2412.15958 |