Chiral behavior of the B(s,d)-Bbar(s,d) mixing amplitude in the Standard Model and beyond

Abstract

We compute the chiral logarithmic corrections to the Bd and Bs mixing amplitudes in the Standard Model and beyond. We then investigate the impact of the inclusion of the lowest-lying scalar heavy-light states to the decay constants and bag-parameters and show that this does not modify the pion chiral logarithms, but it does produce corrections which are competitive in size with the K- and eta-meson chiral logarithms. This conclusion is highly relevant to the lattice studies since the pion chiral logarithms represent the most important effect in guiding the chiral extrapolations of the lattice data for these quantities. Also important is to stress that the pion chiral logarithmic corrections are useful in guiding those extrapolations as long as Mpi << Delta, where Delta is the mass gap between the scalar and pseudoscalar heavy-light mesons.

16 pages, 5 figures (published version)

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Cited by in corpus (16)

• Neutral B Meson Mixing in Unquenched Lattice QCD
• Neutral B-meson mixing from full lattice QCD at the physical point
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• ΔS=2 and ΔC=2 bag parameters in the SM and beyond from Nf=2+1+1 twisted-mass LQCD
• B-physics from Nf=2 tmQCD: the Standard Model and beyond
• g(B*Bpi)-coupling in the static heavy quark limit
• D-Dbar Mixing in the Standard Model and Beyond from Nf=2 Twisted Mass QCD
• D-meson decay constants and a check of factorization in non-leptonic B-decays
• Parametrisations of the D -> K l nu form factor and the determination of \hat{g}
• On the matrix elements of dB=0 operators in the heavy meson decay widths
• Chiral loop corrections to weak decays of B mesons to positive and negative parity charmed mesons
• Pionic couplings to the lowest heavy-light mesons of positive and negative parity
• Chiral corrections to the scalar form factor in B_q to D_q transitions
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• Chiral behaviour of Delta B = 2 and Delta C =2 matrix elements
• Chiral loop corrections in B to D l nu decays