QCD factorization at twist-3: the two parton contributions

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dc.creatorYeh, Tsung-Wen
dc.date2007-12-14
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:24:51Z
dc.date.available2026-07-07T09:24:51Z
dc.descriptionIn this paper, the twist-3 two parton corrections in charmless $B\to PP$ decays are shown to be factorizable under the QCD factorization approach. The factorizability of the twist-3 two parton corrections is constructed on the following findings. Under the energetic meson limit, the pseudoscalar distribution amplitude for a light pseudoscalar meson is allowed to be non-constant by the equations of motion for the quark. The non-constant pseudoscalar distribution amplitude is then used to regularize the end-point divergences in the hard spectator corrections at twist-3 order. By retaining the momentum fraction variable of the spectator quark of the $B$ meson in the propagators, the end-point divergence in the weak annihilation corrections at twist-3 order is resolved. The factorization of the $O(α_s)$ corrections under the two parton approximation is shown valid up-to $O(1/m_b)$ . The hard scattering kernels of order $O(α_s)$ and $O(Λ_{QCD}/m_b)$ are explicitly given and found to be infrared finite. The results are applied for making predictions for the branching ratios of $B\to πK $ decays.
dc.description67 pages, 7 figures, typos corrected, six references added;
dc.identifierhttps://arxiv.org/abs/0712.2292
dc.identifierhttp://arxiv.org/abs/0712.2292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156210
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQCD factorization at twist-3: the two parton contributions
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