Speaker
Description
The light-cone distribution amplitudes of two-pion states are universal hadronic objects involved in the factorization of heavy hadron decays or in the large momentum-transfer transitions with two pions in the final state. The leading twist-2 distribution amplitudes are parameterized in terms of the functions of the dipion invariant mass serving as coefficients in the Gegenbauer expansion. As a new method to determine these functions, we suggest to use the measurements of the $D\to \pi\pi\ell\nu_\ell$ semileptonic decay. The differential decay distributions are expressed in terms of the $D\to \pi\pi$ form factors, using for the latter the QCD light-cone sum rules in terms of dipion distribuiton amplitudes.
As a first application of this method, we employ the available BESS-III data on $D^0\to \pi^-\pi^0\ell^+\nu_\ell$ decay distribution and fit the first few Gegenbauer functions for the isospin-1 dipion distribution amplitudes.
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