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Heavy-to-light form factors for non-relativistic bound states
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Heavy-to-light form factors for non-relativistic bound states
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We investigate transition form factors between non-relativistic QCD bound states at large recoil energy. Assuming the decaying quark to be much heavier than its decay product, the relativistic dynamics can be treated according to the factorization formula for heavy-to-light form factors obtained from the heavy-quark expansion in QCD. The non-relativistic expansion determines the bound-state wave functions to be Coulomb-like. As a consequence, one can explicitly calculate the so-called ``soft-overlap'' contribution to the transition form factor.
Forward citations
Cited by 2 Pith papers
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$B_c \to \eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check
SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff re...
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Precision Study of Semileptonic and Non-Leptonic $B_c$ Decays to $\eta_c$ and P Wave Charmonia
Data-constrained NRQCD form factors yield R(χ_c0)=0.185(3), R(χ_c1)=0.147(26), R(h_c)=0.068(2) and related B_c branching fractions for P-wave charmonia.
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