The distribution amplitude of the $η_c$-meson at leading twist from Lattice QCD
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910613314207744 |
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| author | Blossier, Benoît Mangin-Brinet, Mariane Chávez, José Manuel Morgado José, Teseo San |
| author_facet | Blossier, Benoît Mangin-Brinet, Mariane Chávez, José Manuel Morgado José, Teseo San |
| contents | Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes. Recently, new ideas have allowed their computation using lattice QCD, which should provide us with a general, fully relativistic determination. We present the first lattice calculation of the $η_c$-meson distribution amplitude at leading twist. Starting from the relevant matrix element in discrete Euclidean space on a set of $N_f=2$ CLS ensembles, we explain the method to connect to continuum Minkowski spacetime. After addressing several sources of systematic uncertainty, we compare to Dyson-Schwinger and non-relativistic QCD determinations of this quantity. We find significant deviations between the latter and our result even at small Ioffe times. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_04668 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The distribution amplitude of the $η_c$-meson at leading twist from Lattice QCD Blossier, Benoît Mangin-Brinet, Mariane Chávez, José Manuel Morgado José, Teseo San High Energy Physics - Lattice High Energy Physics - Phenomenology Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes. Recently, new ideas have allowed their computation using lattice QCD, which should provide us with a general, fully relativistic determination. We present the first lattice calculation of the $η_c$-meson distribution amplitude at leading twist. Starting from the relevant matrix element in discrete Euclidean space on a set of $N_f=2$ CLS ensembles, we explain the method to connect to continuum Minkowski spacetime. After addressing several sources of systematic uncertainty, we compare to Dyson-Schwinger and non-relativistic QCD determinations of this quantity. We find significant deviations between the latter and our result even at small Ioffe times. |
| title | The distribution amplitude of the $η_c$-meson at leading twist from Lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.04668 |