NLO Effects for Doubly Heavy Baryon in QCD Sum Rules

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.

13 pages, 6 figures, More detailed calculations are given by adding (1) Appendix A: Analytical Result, (2) Appendix B: Higher Dimensional Operators, (3) An ancillary file for the NLO result with the coefficients related to the master integrals

References in corpus (10)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Heavy Baryons in a Quark Model
• FIRE5: a C++ implementation of Feynman Integral REduction
• Lectures on differential equations for Feynman integrals
• Reducing differential equations for multiloop master integrals
• Excited state mass spectra of doubly heavy $\Xi$ baryons
• Establishing low-lying doubly charmed baryons
• Quark-diquark structure and masses of doubly charmed baryons
• Heavy baryon properties with NLO accuracy in perturbative QCD

Cited by in corpus (15)

• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
• Beautiful mathematics for beauty-full and other multi-heavy hadronic systems
• Investigation of the stability for fully-heavy $bc\bar{b}\bar{c}$ tetraquark states
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• The mass and residues of radially and orbitally excited doubly heavy baryons in QCD
• NLO effects for ${\Omega }_{QQQ}$ Baryons in QCD Sum Rules
• Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states
• Mass spectra of double-bottom baryons
• Mass predictions of triply heavy hybrid baryons via QCD sum rules
• Strong decays of the low-lying doubly bottom baryons
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Baryons and baryoniums in the perspective of QCD sum rules
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons