P--wave quarkonia in jets at the LHC
Abstract
We present the first systematic theoretical study of the production of P-wave charmonium states χcJ and bottomonium states χbJ(nP) within jets at the LHC using the fragmenting jet function framework at next-to-leading order in αs. Our calculation resums both collinear DGLAP logarithms and threshold double logarithms in the fragmentation functions and accounts for feeddown contributions from higher quarkonium states. We observe a notable contrast between the charmonium and bottomonium sectors. For χbJ(nP), the normalized momentum-fraction distributions exhibit a nearly universal shape, with remarkably weak dependence on the choice of long-distance matrix element sets, the radial excitation (n=1,2,3), and the total angular momentum (J=0,1,2). We attribute this universality to the overwhelming dominance of the 3S1[8] fragmentation channel, while feeddown contributions from higher bottomonium states remain small. In contrast, the shape of χcJ distributions exhibits a stronger dependence on the matrix-element set, reflecting the different relative contributions of the 3S1[8] and 3PJ[1] channels. We provide predictions for the χcJ and χbJ(nP) distributions for the CMS and LHCb kinematic selections across a range of jet transverse momenta. We also compare our predictions with \textsc{Pythia}~8 simulations for selected P-wave quarkonium states.
Related
- Light cone distributions of P-wave quarkonia
- Resummation of threshold double logarithms in gluon fragmentation into 1S0[1,8] quarkonia
- Anisotropic chromo-field fluctuations and spin alignment of quarkonia
- Dalitz decays of vector heavy quarkonia into χQJ(1P) in the Bethe-Salpeter approach
- Collinear fragmentation of pseudoscalar quarkonia from NLO NRQCD
BibTeX
@misc{ha2026pwave,
title = {{$P$--wave quarkonia in jets at the LHC}},
author = {Taewook Ha and Byungsik Hong and Daekyoung Kang and Soohwan Lee and Bayu Adi Nugraha Putra},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39959},
eprint = {2610.39959},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39959},
}
RIS
TY - UNPB
TI - P--wave quarkonia in jets at the LHC
AU - Taewook Ha
AU - Byungsik Hong
AU - Daekyoung Kang
AU - Soohwan Lee
AU - Bayu Adi Nugraha Putra
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39959
UR - https://arxiv.org/abs/2610.39959
AB - We present the first systematic theoretical study of the production of P-wave charmonium states χ_cJ and bottomonium states χ_bJ(nP) within jets at the LHC using the fragmenting jet function framework at next-to-leading order in α_s. Our calculation resums both collinear DGLAP logarithms and threshold double logarithms in the fragmentation functions and accounts for feeddown contributions from higher quarkonium states. We observe a notable contrast between the charmonium and bottomonium sectors. For χ_bJ(nP), the normalized momentum-fraction distributions exhibit a nearly universal shape, with remarkably weak dependence on the choice of long-distance matrix element sets, the radial excitation (n=1,2,3), and the total angular momentum (J=0,1,2). We attribute this universality to the overwhelming dominance of the ^3S_1^[8] fragmentation channel, while feeddown contributions from higher bottomonium states remain small. In contrast, the shape of χ_cJ distributions exhibits a stronger dependence on the matrix-element set, reflecting the different relative contributions of the ^3S_1^[8] and ^3P_J^[1] channels. We provide predictions for the χ_cJ and χ_bJ(nP) distributions for the CMS and LHCb kinematic selections across a range of jet transverse momenta. We also compare our predictions with \textsc{Pythia}~8 simulations for selected P-wave quarkonium states.
ER -