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Heavy meson semileptonic decays in two dimensions in the large Nc

Jorge Mondejar
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Abstract

We study QCD in 1+1 dimensions in the large Nc limit using light-front Hamiltonian perturbation theory in the 1/Nc expansion. We use this formalism to exactly compute hadronic transition matrix elements for arbitrary currents at leading order in 1/Nc, which we use to write the semileptonic differential decay rate of a heavy meson and its moments. We then compare with the results obtained using an effective field theory approach based on perturbative factorization, with the intention of better understanding quark-hadron duality. A very good numerical agreement is obtained between the exact result and the result using effective theories.

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Jorge Mondejar. 2006-12-11. Heavy meson semileptonic decays in two dimensions in the large Nc. https://doi.org/10.1016/j.nuclphysbps.2007.08.120

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