Study of quasi-two-body $$B_{(s)}\rightarrow \phi (f_0(980)/f_2(1270)\rightarrow )\pi \pi $$ decays in perturbative QCD approach

Author:

Zou Zhi-Tian,Yang Lei,Li YingORCID,Liu Xin

Abstract

AbstractIn 2017, LHCb collaboration reported their first observation of the rare decays $$B_s \rightarrow \phi (f_0(980)$$ B s ϕ ( f 0 ( 980 ) $$/f_2(1270) \rightarrow ) \pi ^+\pi ^-$$ / f 2 ( 1270 ) ) π + π - and the evidence of $$B^0 \rightarrow \phi (f_0(980)/f_2(1270)\rightarrow )\pi ^+\pi ^-$$ B 0 ϕ ( f 0 ( 980 ) / f 2 ( 1270 ) ) π + π - . Motivated by this, we study these quasi-two-body decays in the perturbative QCD approach. The branching fractions, CP asymmetries and the polarization fractions are calculated. We find that within the appropriate two-meson wave functions, the calculated branching fractions are in agreement with the measurements of LHCb. Based on the narrow-width approximation, We also calculate the branching fractions of the quasi-two-body $$B_{d,s}\rightarrow \phi (f_0(980)/f_2(1270)\rightarrow ) \pi ^0\pi ^0$$ B d , s ϕ ( f 0 ( 980 ) / f 2 ( 1270 ) ) π 0 π 0 and $$B_{d,s}\rightarrow \phi (f_2(1270)\rightarrow ) K^+K^-$$ B d , s ϕ ( f 2 ( 1270 ) ) K + K - , and hope the predictions to be tested in the ongoing LHCb and Belle II experiments. Moreover, the processes $$B_{d,s}\rightarrow \phi f_2(1270)$$ B d , s ϕ f 2 ( 1270 ) are also analyzed under the approximation. We note that the CP asymmetries of these decays are very small, because these decays are either penguin dominant or pure penguin processes.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),Engineering (miscellaneous)

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