Explaining $B \to K \pi$ anomaly with non-universal $Z^\prime$ boson

Mohanta, R.; Giri, A.K.

doi:10.1103/PhysRevD.79.057902

Explaining $B \to K \pi$ anomaly with non-universal $Z^\prime$ boson

R. Mohanta
(
- Hyderabad U.
)
,
A.K. Giri
(
- Punjabi U.
)

Dec, 2008

11 pages

Published in:

Phys.Rev.D 79 (2009) 057902

e-Print:

0812.1842 [hep-ph]

DOI:

10.1103/PhysRevD.79.057902

View in:

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Abstract: (arXiv)

We study the effect of non-universal

Z'

boson in the decay modes

B \to K \pi

. In the standard model these modes receive dominant contributions from

b \to s

QCD penguins. Therefore, in this limit one expects

S_{\pi^0 K^0} \approx \sin 2 \beta

,

A_{\pi^0 K^0} \approx 0

and

A_{\pi^0 K^-} \approx A_{\pi^+ K^-}

. The corrections due to the presence of small non-penguin contributions is found to yield

S_{\pi^0 K^0} > \sin 2 \beta

and

\Delta A_{CP}(K \pi) \simeq 2.5 %

. However, the measured value of

S_{\pi^0 K^0}

is less than

\sin 2 \beta

and

\Delta A_{CP}(K \pi) \simeq 15 %

. We show the model with a non-universal

Z'

boson can successfully explain these anomalies.

12.60.Cn
11.30.Er
13.25.Hw
quantum chromodynamics: penguin
Z'
B: hadronic decay
pseudoscalar meson: pair production
anomaly
B: width
time dependence

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Explaining B→KπB \to K \piB→Kπ anomaly with non-universal Z′Z^\primeZ′ boson

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Explaining $B \to K \pi$ anomaly with non-universal $Z^\prime$ boson