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Abstract
We present a measurement of π΅(π0βπ+πβπΎ)/π΅(π0βπΎπΎ), the Dalitz branching ratio, using data taken in 1999 by the E832 KTeV experiment at Fermi National Accelerator Laboratory. We use neutral pions from fully reconstructed πΎπΏ decays in flight; the measurement is based on βΌ60 thousand πΎπΏβπ0π0π0βπΎπΎπΎπΎπ+πβπΎ decays. We normalize to πΎπΏβπ0π0π0β6πΎ decays. We find π΅(π0βπ+πβπΎ)/π΅(π0βπΎπΎ)(ππ+πβ>15ββMeV/π2)=[3.920Β±0.016(stat)Β±0.036(syst)]Γ10β3. Using the Mikaelian and Smith prediction for the π+πβ mass spectrum, we correct the result to the full π+πβ mass range. The corrected result is π΅(π0βπ+πβπΎ)/π΅(π0βπΎπΎ)=[1.1559Β±0.0047(stat)Β±0.0106(syst)]. This result is consistent with previous measurements, and the uncertainty is a factor of 3 smaller than any previous measurement.