| Abstract |
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We present a measurement of the partial branching fractions and mass
spectra of the exclusive radiative penguin processes $B\to
K\pi\pi\gamma$ in the range $m_{K\pi\pi} < 1.8 \mathrm{GeV}/c^2$. We
reconstruct four final states: $K^+\pi^-\pi^+\gamma$,
$K^+\pi^-\pi^0\gamma$, $K^0_s\pi^-\pi^+\gamma$, and
$K^0_s\pi^+\pi^-\gamma$, where $K^0_s\to\pi^+\pi^-$. Using
232 million $e^+e^-\to B\bar{B}$ events recorded by the BaBar
experiment at the PEP-II asymmetric-energy storage ring, we measure
the branching fractions
${\cal B}(B^+\to K^+\pi^-\pi^+\gamma) =(2.95\pm 0.13\,(\mathrm{stat.})\pm 0.20\,(\mathrm{syst.}))\times 10^{-5}$,
${\cal B}(B^0\to K^+\pi^-\pi^0\gamma) =(4.07\pm 0.22\,(\mathrm{stat.})\pm 0.31\,(\mathrm{syst.}))\times 10^{-5}$,
${\cal B}(B^0\to K^0\pi^+\pi^-\gamma) =(1.85\pm 0.21\,(\mathrm{stat.})\pm 0.12\,(\mathrm{syst.}))\times 10^{-5}$, and
${\cal B}(B^+\to K^0\pi^+\pi^0\gamma) =(4.56\pm 0.42\,(\mathrm{stat.})\pm 0.31\,(\mathrm{syst.}))\times 10^{-5}$.
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