Matrix elements of the complete set of ΔB = 2 and ΔC = 2 operators in heavy meson chiral perturbation theory

Abstract

Using heavy meson chiral perturbation theory, we consider the light quark-mass and spatial volume dependence of the matrix elements of ΔB=2 and ΔC=2 four-quark operators relevant for B^{0}_{(s)}{-}\bar{B}^{0}_{(s)} and D^{0}{-}\bar{D}^{0} mixing, and the B_{s} meson width difference. Our results for these matrix elements are obtained in the N_{f}=2+1 partially quenched theory, which becomes full QCD in the limit where sea and valence quark masses become equal. They can be used in extrapolation of lattice calculations of these matrix elements to the physical light quark masses and to infinite volume. An important conclusion of this paper is that the chiral extrapolations for matrix elements of heavy-light meson mixing beyond the Standard Model, and those relevant for the B_s width difference are more complicated than that for the Standard Model mixing matrix elements.

arXiv comment13 pages; version accepted for publication

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• Universality of Mixed Action Extrapolation Formulae
• Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• Neutral $B$ mixing from 2+1 flavor lattice-QCD: the Standard Model and beyond
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• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
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• Matrix elements of $\Delta B=0$ operators in heavy hadron chiral perturbation theory