2005/10/13 by F. Jugeau, A. Le Yaouanc, L. Oliver +2 · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Function (biology) #Geometry #Lagrangian #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Philosophy #Physics #Product (mathematics) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Zero (linguistics) #hep-ph
paper · pdf · doi:10.1103/physrevd.73.074003
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(7) (American Physical Society)
arxiv created 2005/10/13 · openalex publication_date 2006/04/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We pursue the program of the study of the nonforward amplitude in heavy quark effective theory (HQET). We obtain new sum rules involving the elastic subleading form factors \ensuremathχi(w) (i=1,2,3) at order 1/mQ that originate from the Lkin and Lmag perturbations of the Lagrangian. To obtain these sum rules we use two methods. On the one hand we start simply from the definition of these subleading form factors, and on the other hand, we use the operator product expansion. To the sum rules contribute only the same intermediate states (jP,JP)=((1)/(2)^\ensuremath-,1^\ensuremath-),((3)/(2)^\ensuremath-,1^\ensuremath-) that enter in the 1/mQ2 corrections of the axial form factor h_A1(w) at zero recoil. This allows to obtain a lower bound on \ensuremath-\ensuremathδ_1/m2^(A1) in terms of the \ensuremathχi(w) and the shape of the elastic IW function \ensuremathξ(w). We find also lower bounds on the 1/mQ2 correction to the form factors h+(w) and h1(w) at zero recoil. An important theoretical implication is that \ensuremathχ1^\ensuremath'(1), \ensuremathχ2(1) and \ensuremathχ3^\ensuremath'(1) (\ensuremathχ1(1)=\ensuremathχ3(1)=0 from Luke theorem) would vanish if the slope and the curvature of \ensuremathξ(w), \ensuremathρ2\ensuremath≥(3)/(4), \ensuremathσ2\ensuremath≥(15)/(16), would attain their lowest bounds. We discuss possible implications on the precise determination of |Vcb|.