Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$

Abstract

The decays of $B_{d,s}^0\to \sigma \sigma ,\sigma f_0,f_0{f}_0$, with $\sigma$ and $f_0$ denoting the light scalar mesons $f_0(500)$ and $f_0(980)$ in the two-quark picture, are studied in the perturbative QCD approach based on $k_T$ factorization. With the referenced value of the mixing angle $|\phi |\sim 25^{\circ }$ for the $\sigma -f_0$ mixing in the quark-flavor basis, it is of great interest to obtain that: (a) these neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$, and $f_0{f}_0$ have large branching ratios in the order of $10^{-6}\sim 10^{-4}$, which mean the possibly constructive interferences existed in the decays with different flavor states, and then are expected to be tested at the Large Hadron Collider beauty and/or Belle-II experiments in the (near) future; (b) the large direct CP violations could be easily found in the $B_d^0\to \sigma \sigma ,f_0{f}_0$ and $B_{d,s}^0\to \sigma f_0$ decays, which indicate the considerable interferences between the tree and the penguin decay amplitudes involved in these four modes, and would be confronted with the future measurements; (c) these neutral $B$-meson decays could be examined through the secondary decay chain $\sigma /f_0\to {\pi }^{+}{\pi }^{-}$, namely, the four-body decays of $B_{d,s}^0\to ({\pi }^{+}{\pi }^{-}{)}_{\sigma (f_0)}({\pi }^{+}{\pi }^{-}{)}_{\sigma (f_0)}$. On the other side, it seems that other 4 four-body decays of $B_d^0\to ({\pi }^{+}{\pi }^{-}{)}_{\sigma }(K^{+}{K}^{-}{)}_{f_0}$, $B_s^0\to ({\pi }^{+}{\pi }^{-}{)}_{\sigma (f_0)}(K^{+}{K}^{-}{)}_{f_0}$, and $B_s^0\to (K^{+}{K}^{-}{)}_{f_0}(K^{+}{K}^{-}{)}_{f_0}$ could also be detected at the relevant experiments, if the $f_0\to K^{+}{K}^{-}$ could be identified from the $\varphi \to K^{+}{K}^{-}$ clearly.

17 pages, 3 figures, 3 tables, references updated, final version to appear in EPJC

References in corpus (20)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• The Status of Glueballs
• The Experimental Status of Glueballs
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Study of scalar mesons f_0(980) and f_0(1500) from $B\to f_0(980)K$ and $B\to f_0(1500)K$ Decays
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Study of $K_0^{\ast }(1430)$ and $a_0(980)$ from $B\to K_0^{\ast }(1430)\pi$ and $B\to a_0(980)K$ Decays
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Dispersive analysis of glueball masses
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• Possible complex annihilation and B -> K pi direct CP asymmetry
• Next-to-leading-logarithm $k_T$ resummation for $B_c\to J/\psi$ decays
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• The PQCD approach towards to next-to-leading order: a short review
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• Charmless $B_s\to VS$ Decays in PQCD Approach
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach

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