Investigation of the $D_{s1}$ structure via $B_c$ to $D_{s1}{l}^{+}{l}^{-}/\nu \bar{\nu }$ transitions in QCD

Abstract

We investigate the structure of the $D_{s1}(2460,2536)(J^P=1^{+})$ mesons via analyzing the semileptonic $B_c\to D_{s1}{l}^{+}{l}^{-}$, $l=\tau ,\mu ,e$ and $B_c\to D_{s1}\nu \bar{\nu }$ transitions in the framework of the three--point QCD sum rules. We consider the $D_{s1}$ meson in two ways, the pure $|c\bar{s}>$ state and then as a mixture of two ${|}^3{P}_1>$ and ${|}^1{P}_1>$ states. Such type rare transitions take place at loop level by electroweak penguin and weak box diagrams in the standard model via the flavor changing neutral current transition of $b\to s$. The relevant form factors are calculated taking into account the gluon condensate contributions. These form factors are numerically obtained for $|c\bar{s}>$ case and plotted in terms of the unknown mixing angle ${\theta }_s$, when the $D_{s1}$ meson are considered as mixture of two ${|}^3{P}_1>$ and ${|}^1{P}_1>$ states. The obtained results for the form factors are used to evaluate the decay rates and branching ratios. Any future experimental measurement on these form factors as well as decay rates and branching fractions and their comparison with the obtained results in the present work can give considerable information about the structure of this meson and the mixing angle ${\theta }_s$.

33 Pages, 11 Figures and 5 Tables

References in corpus (6)

• The New Heavy Mesons: A Status Report
• Analysis of the Rare $B_c\to D_{s,d}^{\ast }{l}^{+}{l}^{-}$ Decays in QCD
• The Effects of Fourth Generation on the Total Branching Ratio and the Lepton Polarization in $Λ_b \rar Λ\ell^+ \ell^-$ decay
• Analysis of the rare semileptonic $B_c \rar P(D,D_s) l^{+}l^{-}/ν\barν$ decays within QCD sum rules
• Semileptonic $B_c^{-}\to D^{\ast 0}\ell \nu$ transition in three--point QCD sum rules and HQET with gluon condensate corrections
• QCD sum rules analysis of the rare $B_c \rar Xν\barν$ decays

Cited by in corpus (3)

• A review of the open charm and open bottom systems
• Rare Radiative $B_c\to D_{s1}(2460)\gamma$ Transition in QCD
• Rare Radiative Decays of Vector and Axial-Vector $B_c$ Mesons to $(D_s,D_s^{\ast },D_{s1})$ Final States