Exclusive decays of χ_{bJ} and η_b into two charmed mesons
arXiv:0909.1995 · doi:10.1103/PhysRevD.80.074026
Abstract
We develop a framework to study the exclusive two-body decays of bottomonium into two charmed mesons and apply it to study the decays of the C-even bottomonia. Using a sequence of effective field theories, we take advantage of the separation between the scales contributing to the decay processes, 2m_b >> m_c >> Λ_{QCD}. We prove that, at leading order in the EFT power counting, the decay rate factorizes into the convolution of two perturbative matching coefficients and three non-perturbative matrix elements, one for each hadron. We calculate the relations between the decay rate and non-perturbative bottomonium and D-meson matrix elements at leading order, with next-to-leading log resummation. The phenomenological implications of these relations are discussed.
arXiv comment43 pages, 12 figures. Added reference for Sec. V
References in corpus (39)
- Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
- An effective field theory for collinear and soft gluons: heavy to light decays
- Soft-Collinear Factorization in Effective Field Theory
- QCD Factorization for Decays: Strong Phases and CP Violation in the Heavy Quark Limit
- Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
- Potential NRQCD: an effective theory for heavy quarkonium
- Effective field theories for heavy quarkonium
- Hard Scattering Factorization from Effective Field Theory
- Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
- Quarkonium Wave Functions at the Origin
- Asymptotics of Heavy-Meson Form Factors
- The Zero-Bin and Mode Factorization in Quantum Field Theory
- Jets from Massive Unstable Particles: Top-Mass Determination
- Treating the b quark distribution function with reliable uncertainties
- The B-Meson Distribution Amplitude in QCD
- Renormalization group scaling in nonrelativistic QCD
- Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
- Rigorous QCD Predictions for Decays of P-Wave Quarkonia
- B decay and the Upsilon mass
- Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
- Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
- Bound States and Power Counting in Effective Field Theories
- Precision Measurement of B(D+ -> mu+ nu) and the Pseudoscalar Decay Constant fD+
- Model-Independent Properties of the B-Meson Distribution Amplitude
- Effective theory approach to unstable particle production
- Inclusive Decays of Heavy Quarkonium to Light Particles
- Effective theory calculation of resonant high-energy scattering
- Comment on Quark Masses in SCET
- Renormalization group analysis of the QCD quark potential to order v^2
- New predictions for inclusive heavy-quarkonium P-wave decays
- Ultrasoft Renormalization in Non-Relativistic QCD
- Observation potential for eta_b at the Tevatron
- Bottomonium Decay Matrix Elements from Lattice QCD with Two Light Quarks
- Heavy-to-light meson form factors at large recoil
- A theoretical review of heavy quarkonium inclusive decays
- Inclusive Charm Production in chi_b Decays
- Inclusive Charm Production in Upsilon(nS) Decay
- Observation of chi-b(1PJ,2PJ) decays to light hadrons
- Inclusive chi_bJ(nP) Decays to D0 X