Towards a Heavy Diquark Effective Theory for Weak Decays of Doubly Heavy Baryons

Abstract

We construct a leading-order effective field theory for both scalar and axial-vector heavy diquarks, and consider its power expansion in the heavy diquark limit. By assuming the transition from QCD to diquark effective theory, we derive the most general form for the effective diquark transition currents based on the heavy diquark symmetry. The short-distance coefficients between QCD and heavy diquark effective field theory are also obtained by a tree level matching. With the effective currents in the heavy diquark limit, we perform a reduction of the form factors for semi-leptonic decays of doubly heavy baryons, and find that only one nonperturbative function is remaining. It is shown that this soft function can be related to the Isgur-Wise function in heavy meson transitions. As a phenomenological application, we take a single pole structure for the reduced form factor, and use it to calculate the semi-leptonic decay widths of doubly heavy baryons. The obtained results are consistent with others given in the literature, and can be tested in the future.

arXiv comment24 pages, 3 figures, 1 table

References in corpus (41)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Asymptotics of Heavy-Meson Form Factors
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• First observation of the doubly charmed baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}$
• Discovery Potentials of Doubly Charmed Baryons
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Measurement of the lifetime of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Doubly Heavy Baryons, Heavy Quark-DiQuark Symmetry and NRQCD
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• Strong and radiative decays of the doubly charmed baryons
• Prospects of discovering stable double-heavy tetraquarks at a Tera-$Z$ factory
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Analysis of the doubly heavy baryon states and pentaquark states with QCD sum rules
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• Search for the doubly charmed baryon ${\Xi }_{cc}^{+}$
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Doubly heavy baryons at LHC
• Isospin splittings of doubly heavy baryons
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Weak decays of doubly heavy baryons: the FCNC processes
• Ab initio three-loop calculation of the W-exchange contribution to nonleptonic decays of double charm baryons
• Doubly charmed baryon production in heavy ion collisions
• Weak decays of doubly heavy baryons: "decay constants"
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}V$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Chiral partner structure of doubly heavy baryons with heavy quark spin-flavor symmetry
• Magnetic moments of doubly heavy baryons in light-cone QCD
• Weak Decays of Doubly Heavy Baryons: W-Exchange
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Quark-diquark structure and masses of doubly charmed baryons
• Semileptonic bc to cc Baryon Decay and Heavy Quark Spin Symmetry
• Weak Decays of Doubly-Heavy Tetraquarks $b\bar{c}q\bar{q}$
• Heavy Quark Effective Theory, Interpolating Fields and Bethe-Salpeter Amplitudes
• The Direct Coupling of Light Quarks to Heavy Di-quarks

Cited by in corpus (15)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Inclusive approach to hunt for the beauty-charmed baryons ${\Xi }_{bc}$
• Rescattering mechanism of weak decays of double-charm baryons
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Effective field theory for double heavy baryons at strong coupling
• QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes
• Baryons in the light-front approach: The three-quark picture
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Strong decays of the low-lying doubly bottom baryons
• Static properties and Semileptonic transitions of lowest-lying double heavy baryons
• Observation of the doubly-charmed-baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^0{\pi }^{+}{\pi }^{+}$
• Inclusive weak-annihilation decays and lifetimes of beauty-charmed baryons
• Transition properties of Doubly Heavy Baryons
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$