The $B_c$ meson and its scalar cousin with the QCD sum rules

Abstract

In the present work, we use optical theorem to calculate the next-to-leading order corrections to the QCD spectral densities directly in the QCD sum rules for the pseudoscalar and scalar $B_c$ mesons. We take the experimental data as guides to perform updated analysis, and obtain the masses and decay constants, especially the decay constants, which are the fundamental input parameters in the high energy physics, therefore the pure leptonic decay widths, which can be confronted to the experimental data in the future.

arXiv comment15 pages, 10 figures

References in corpus (50)

• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Mesons with Beauty and Charm: Spectroscopy
• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Observation of B_c Mesons in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Spectroscopy of B_c Mesons in the Relativized Quark Model
• $B_c$ spectroscopy
• Heavy Mesons In A Relativistic Model
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Physics of B_c mesons
• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• Hadrons with Charm and Beauty
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Impact of polarization observables and $B_c\to \tau \nu$ on new physics explanations of the $b\to c\tau \nu$ anomaly
• Observation of the Decay $B_c^{\pm }\to J/\psi {\pi }^{\pm }$ and Measurement of the $B_c^{\pm }$ Mass
• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• Observation of an Excited $B_c^{\pm }$ Meson State with the ATLAS Detector
• Measurement of the Bc meson mass in the exclusive decay Bc --> Jpsi Pi
• Observation of two excited B${}_{\mathrm{c}}^{+}$ states and measurement of the B${}_{\mathrm{c}}^{+}$(2S) mass in pp collisions at $\sqrt{s}=$ 13 TeV
• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Phenomenological prediction of the properties of the B_{C} system
• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• $B_c$ Spectroscopy from Lattice QCD
• Spectroscopy of $B_c$ meson in a semi-relativistic quark model using the shifted large-N expansion method
• Observation of an excited $B_c^{+}$ state
• Decay constants of the heavy-light mesons from the field correlator method
• The $B_c$ mass up to order ${\alpha }_s^4$
• Bc spectroscopy in a quantum-chromodynamic potential model
• The excited bottom-charmed mesons in a nonrelativistic quark model
• A Prediction of the B*_c mass in full lattice QCD
• Decay constants of $P$-wave mesons
• $B_c$ mesons and their properties on the light front
• $M(B_c^{\ast })-M(B_c)$ Splitting from Nonrelativistic Renormalization Group
• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Analysis of the vector and axialvector $B_c$ mesons with QCD sum rules
• $B_c$ mesons in a Bethe-Salpeter model
• $B$ Meson Decay Constants $f_{B_c}$, $f_{B_s}$ and $f_B$ from QCD Sum Rules
• The mass spectrum and wave functions of the $B_c$ system
• Mesonic decay constants in lattice NRQCD
• Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays
• m_c and m_b from M_B_c and improved estimate of f_B_c and f_B_c (2S)
• 2-loop QCD corrections to Bc-meson leptonic constant
• The radiative decays $B_c^{\ast \pm }\to B_c^{\pm }\gamma$ with QCD sum rules
• Mass spectra and decays of ground and orbitally excited $c\bar{b}$ states in non relativistic quark model
• Calculation of the B_{c}leptonic decay constant using the shifted N-expansion method
• Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s
• Next-to-next-to-leading order matching of beauty-charmed meson $B_c$ and $B_c^{\ast }$ decay constants
• Properties of excited $B_c$ states in QCD
• Decay constant of $B_c^{\ast }$ accurate up to $\mathcal{O}({\alpha }_s^3)$
• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark
• Next-to-leading order perturbative contributions in the QCD sum rules for mesonic two-point correlation functions with unequal quark masses

Cited by in corpus (4)

• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays