Nonleptonic $B_c$ decay rates from model independent relations

Abstract

Nonleptonic $B_c$ decays to $P$-wave charmonia and light ${\pi }^{+}$, $K^{+}$, and ${\rho }^{+}$, $K^{\ast +}$ mesons are analysed using factorization. The hadronic form factors parametrizing the $B_c\to {\chi }_{cJ}(h_c)$ matrix elements are expressed in terms of universal functions at the leading order of an expansion in the relative velocity of the heavy quarks in the $B_c$ rest-frame and in $1/m_Q$. Several ratios of branching fractions are evaluated, and when experimental information can be used, single branching fractions are presented. Both the $1P$ and $2P$ charmonia are considered. If the exotic candidate state ${\chi }_{c1}(3872)$ corresponds to ${\chi }_{c1}(2P)$, it should be produced in nonleptonic $B_c$ decays with predicted abundances with respect to the other states in the charmonium $2P$ spin four-plet.

arXiv comment15 pages, 5 figures, 5 tables

References in corpus (34)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Higher Charmonia
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Using Heavy Quark Spin Symmetry in Semileptonic $B_c$ Decays
• Semileptonic $B_c$ Decay and Heavy Quark Spin Symmetry
• Non-Leptonic Weak Decays of B Mesons
• Implications of new physics in the decays $B_c\to (J/\psi ,{\eta }_c)\tau \nu$
• Challenges in Semileptonic B Decays
• $B_c$ Exclusive Decays to Charmonium and a Light Meson at Next-to-Leading Order Accuracy
• Updated Analysis of a_1 and a_2 in Hadronic Two-body Decays of B Mesons
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• The study of $B_c^{-}\to X(3872){\pi }^{-}(K^{-})$ Decays in the Covariant Light-Front Approach
• Semileptonic and nonleptonic decays of B_c mesons to orbitally excited heavy mesons in the relativistic quark model
• Tension in the inclusive versus exclusive determinations of $|V_{cb}|$: a possible role of new physics
• Measurement of the ratio of $B_c^{+}$ branching fractions to $J/\psi {\pi }^{+}$ and $J/\psi {\mu }^{+}{\nu }_{\mu }$
• $X(3872)\to D\bar{D}\gamma$ decays and the structure of X(3872)
• Model-Independent Bounds on $R(J/\psi )$
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
• Improved perturbative QCD formalism for $B_c$ meson decays
• Probing the $P$-wave charmonium decays of $B_c$ meson
• Decipher the short-distance component of $X(3872)$ in $B_c$ decays
• Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals
• Scrutinizing New Physics in Semi-leptonic $B_c\to J/\psi \tau \nu$ Decay
• Semileptonic decays of $B_c$ meson to $P$-wave charmonium states
• Relations among $B_c\to J/\psi ,{\eta }_c$ form factors
• Branching ratios of $B_c$ Meson Decaying to Vector and Axial-Vector Mesons
• Electro-weak production of pseudovector C-even heavy quarkonia in electron-positron collisions on Belle II and BES III
• Semileptonic $B_c$ decays to $P-$wave charmonium and the nature of ${\chi }_{c1}(3872)$
• Electroweak production of ${\chi }_{Q1}$ states in $e^{+}{e}^{-}$ collisions: A brief review
• $B_c$ meson exclusive decays to a $P$-wave charmonium and a pion at NLO accuracy

Cited by in corpus (1)

• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays