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- W1548495296 abstract "We calculate the branching ratios and $CP$-violating asymmetries of the four $Bensuremath{rightarrow}K{ensuremath{eta}}^{(ensuremath{'})}$ decays in the perturbative QCD (pQCD) factorization approach. Besides the full leading-order contributions, the partial next-to-leading-order (NLO) contributions from the QCD vertex corrections, the quark-loops, and the chromomagnetic penguins are also taken into account. The NLO pQCD predictions for the $CP$-averaged branching ratios are $mathrm{Br}({B}^{+}ensuremath{rightarrow}{K}^{+}ensuremath{eta})ensuremath{approx}3.2ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}6}$, $mathrm{Br}({B}^{ifmmodepmelsetextpmfi{}}ensuremath{rightarrow}{K}^{ifmmodepmelsetextpmfi{}}{ensuremath{eta}}^{ensuremath{'}})ensuremath{approx}51.0ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}6}$, $mathrm{Br}({B}^{0}ensuremath{rightarrow}{K}^{0}ensuremath{eta})ensuremath{approx}2.1ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}6}$, and $mathrm{Br}({B}^{0}ensuremath{rightarrow}{K}^{0}{ensuremath{eta}}^{ensuremath{'}})ensuremath{approx}50.3ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}6}$. The NLO contributions can provide a 70% enhancement to the LO $mathrm{Br}(Bensuremath{rightarrow}K{ensuremath{eta}}^{ensuremath{'}})$, but a 30% reduction to the LO $mathrm{Br}(Bensuremath{rightarrow}Kensuremath{eta})$, which play the key role in understanding the observed pattern of branching ratios. The NLO pQCD predictions for the $CP$-violating asymmetries, such as ${mathcal{A}}_{CP}^{mathrm{dir}}({K}_{S}^{0}{ensuremath{eta}}^{ensuremath{'}})ensuremath{sim}2.3%$ and ${mathcal{A}}_{CP}^{mathrm{mix}}({K}_{S}^{0}{ensuremath{eta}}^{ensuremath{'}})ensuremath{sim}63%$, agree very well with currently available data. This means that the deviation $ensuremath{Delta}S={mathcal{A}}_{CP}^{mathrm{mix}}({K}_{S}^{0}{ensuremath{eta}}^{ensuremath{'}})ensuremath{-}mathrm{sin}2ensuremath{beta}$ in pQCD approach is also very small." @default.
- W1548495296 created "2016-06-24" @default.
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- W1548495296 date "2008-12-01" @default.
- W1548495296 modified "2023-10-03" @default.
- W1548495296 title "Branching ratios and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>asymmetries of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>K</mml:mi><mml:msup><mml:mi>η</mml:mi><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mo>′</mml:mo><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:msup></mml:math>decays in the perturbative QCD approach" @default.
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- W1548495296 doi "https://doi.org/10.1103/physrevd.78.114001" @default.
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