Bottom-Charm [bc] Diquark Masses from QCD Laplace Sum-Rules
Abstract
Constituent mass predictions for bottom-charm [bc] color-antitriplet diquarks are generated using QCD Laplace sum rules. We calculate the diquark correlator within the operator product expansion to next-to-leading-order (NLO), including terms proportional to the four- and six-dimensional gluon and six-dimensional quark condensates. Existing analytic expressions for the resulting multi-scale master integrals are insufficient for these calculations, so we utilize numerical D-dimensional loop integration techniques. The sum rule analyses stabilize in all four channels yielding constituent masses in GeV of: scalar (0+) (5.60±0.56), pseudoscalar (0-) (6.04±0.60), axial vector (1+) (5.60±0.56) and vector (1-) (5.99±0.60). These constituent mass results are discussed in comparison with values used in diquark models of tetraquark hadronic states. We also summarize QCD sum rule predictions for diquark masses for all possible quark-flavor combinations, providing QCD-based criteria for assessing the diquark mass parameters used in constituent diquark models of hadrons.
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BibTeX
@misc{oliveira2026bottomcharm,
title = {{Bottom-Charm $[bc]$ Diquark Masses from QCD Laplace Sum-Rules}},
author = {T. de Oliveira and D. Harnett and J. Ho and R. T. Kleiv and Siyuan Li and N. Loewen and A. Palameta and T. G. Steele},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19256},
eprint = {2610.19256},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19256},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Bottom-Charm [bc] Diquark Masses from QCD Laplace Sum-Rules
AU - T. de Oliveira
AU - D. Harnett
AU - J. Ho
AU - R. T. Kleiv
AU - Siyuan Li
AU - N. Loewen
AU - A. Palameta
AU - T. G. Steele
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.19256
UR - https://arxiv.org/abs/2610.19256
AB - Constituent mass predictions for bottom-charm [bc] color-antitriplet diquarks are generated using QCD Laplace sum rules. We calculate the diquark correlator within the operator product expansion to next-to-leading-order (NLO), including terms proportional to the four- and six-dimensional gluon and six-dimensional quark condensates. Existing analytic expressions for the resulting multi-scale master integrals are insufficient for these calculations, so we utilize numerical D-dimensional loop integration techniques. The sum rule analyses stabilize in all four channels yielding constituent masses in GeV of: scalar (0^+) (5.60±0.56), pseudoscalar (0^-) (6.04±0.60), axial vector (1^+) (5.60±0.56) and vector (1^-) (5.99±0.60). These constituent mass results are discussed in comparison with values used in diquark models of tetraquark hadronic states. We also summarize QCD sum rule predictions for diquark masses for all possible quark-flavor combinations, providing QCD-based criteria for assessing the diquark mass parameters used in constituent diquark models of hadrons.
ER -