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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.26316 |
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| _version_ | 1866914068272513024 |
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| author | Alexandrou, Constantia Bacchio, Simone Cichy, Krzysztof Constantinou, Martha Sen, Aniket Spanoudes, Gregoris Steffens, Fernanda Tarello, Jacopo |
| author_facet | Alexandrou, Constantia Bacchio, Simone Cichy, Krzysztof Constantinou, Martha Sen, Aniket Spanoudes, Gregoris Steffens, Fernanda Tarello, Jacopo |
| contents | We evaluate the Collins-Soper kernel and the reduced soft function in lattice QCD, incorporating $\mathcal{O}(α_s)$ matching corrections. The calculation relies on the evaluation of the quasi-transverse momentum-dependent wave function with asymmetric staple-shaped quark bilinear operators and four-point meson form factors. These quantities are computed non-perturbatively using two $N_f=2+1+1$ twisted-mass fermion ensembles with the same lattice spacing of $a=0.093$ fm: the first ensemble has a lattice size of $24^3 \times 48$ and a pion mass of 346 MeV; the second one has a lattice size of $32^3 \times 64$ and a pion mass of 261 MeV. The Collins-Soper kernel and the soft function are needed for the determination of the transverse momentum-dependent parton distribution functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collins-Soper Kernel and Reduced Soft Function in Lattice QCD Alexandrou, Constantia Bacchio, Simone Cichy, Krzysztof Constantinou, Martha Sen, Aniket Spanoudes, Gregoris Steffens, Fernanda Tarello, Jacopo High Energy Physics - Lattice We evaluate the Collins-Soper kernel and the reduced soft function in lattice QCD, incorporating $\mathcal{O}(α_s)$ matching corrections. The calculation relies on the evaluation of the quasi-transverse momentum-dependent wave function with asymmetric staple-shaped quark bilinear operators and four-point meson form factors. These quantities are computed non-perturbatively using two $N_f=2+1+1$ twisted-mass fermion ensembles with the same lattice spacing of $a=0.093$ fm: the first ensemble has a lattice size of $24^3 \times 48$ and a pion mass of 346 MeV; the second one has a lattice size of $32^3 \times 64$ and a pion mass of 261 MeV. The Collins-Soper kernel and the soft function are needed for the determination of the transverse momentum-dependent parton distribution functions. |
| title | Collins-Soper Kernel and Reduced Soft Function in Lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2509.26316 |