Abstract
With the QCD sum rules approach, we study the newly discovered doubly heavy baryon $\Xi_{cc}^{++}$. We analytically calculate the next-to-leading order (NLO) contribution to the perturbative part of $J^{P} = \frac{1}{2}^{+}$ baryon current with two identical heavy quarks, and then reanalyze the mass of $\Xi_{cc}^{++}$ at the NLO level. We find that the NLO correction significantly improves both scheme dependence and scale dependence, whereas it is hard to control these theoretical uncertainties at leading order. With the NLO contribution, the baryon mass is estimated to be $m_{\Xi_{cc}^{++}} = 3.66_{-0.10}^{+0.08} \text{~GeV}$, which is consistent with the LHCb measurement.
Highlights
The quark model predicts rich structures of hadronic states with various flavors
With the QCD sum rules approach, we study the newly discovered doubly heavy baryon Ξþccþ
We find that the NLO correction significantly improves both scheme dependence and scale dependence, whereas it is hard to control these theoretical uncertainties at leading order
Summary
The quark model predicts rich structures of hadronic states with various flavors. Numerous predicted states have been observed experimentally, indicating the validity of the quark model classification for hadrons. Many works have been devoted to the study of doubly heavy baryons within QCD sum rules [16,17,18,19,20,21,22], and some impressive predictions have been obtained. At LO the value of the charm-quark mass cannot be well determined, which can cause large errors It was known a long time ago that the nextto-leading-order (NLO) correction has sizable contributions to meson and nucleon sum rules [23,24,25]. We reproduce the massless result in the literature when we set all quark masses to zero Based on this calculation, we reanalyze the newly discovered Ξþccþ in QCD sum rules
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