Unpolarized Transverse-Momentum-Dependent Parton Distributions of the Nucleon from Lattice QCD
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| Auteurs principaux: | , , , , , , , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866909206344368128 |
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| author | Lattice Parton Collaboration He, Jin-Chen Chu, Min-Huan Hua, Jun Ji, Xiangdong Schäfer, Andreas Su, Yushan Wang, Wei Yang, Yibo Zhang, Jian-Hui Zhang, Qi-An |
| author_facet | Lattice Parton Collaboration He, Jin-Chen Chu, Min-Huan Hua, Jun Ji, Xiangdong Schäfer, Andreas Su, Yushan Wang, Wei Yang, Yibo Zhang, Jian-Hui Zhang, Qi-An |
| contents | We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in the standard model. We use a $N_f=2+1+1$ MILC ensemble with valence clover fermions on a highly improved staggered quark (HISQ) sea to compute the quark momentum distributions in a large-momentum nucleon on the lattice. The state-of-the-art techniques in renormalization and extrapolation in the correlation distance on the lattice are adopted. {The perturbative kernel up to next-to-next-to-leading order is taken into account}, and the dependence on the pion mass and the hadron momentum is explored. Our results are qualitatively comparable with phenomenological TMDPDFs, which provide an opportunity to predict high energy scatterings from first principles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02340 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Unpolarized Transverse-Momentum-Dependent Parton Distributions of the Nucleon from Lattice QCD Lattice Parton Collaboration He, Jin-Chen Chu, Min-Huan Hua, Jun Ji, Xiangdong Schäfer, Andreas Su, Yushan Wang, Wei Yang, Yibo Zhang, Jian-Hui Zhang, Qi-An High Energy Physics - Lattice High Energy Physics - Phenomenology We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in the standard model. We use a $N_f=2+1+1$ MILC ensemble with valence clover fermions on a highly improved staggered quark (HISQ) sea to compute the quark momentum distributions in a large-momentum nucleon on the lattice. The state-of-the-art techniques in renormalization and extrapolation in the correlation distance on the lattice are adopted. {The perturbative kernel up to next-to-next-to-leading order is taken into account}, and the dependence on the pion mass and the hadron momentum is explored. Our results are qualitatively comparable with phenomenological TMDPDFs, which provide an opportunity to predict high energy scatterings from first principles. |
| title | Unpolarized Transverse-Momentum-Dependent Parton Distributions of the Nucleon from Lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2211.02340 |