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Gradient Flow Renormalisation for Meson Mixing and Lifetimes
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Gradient Flow Renormalisation for Meson Mixing and Lifetimes
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Fermionic gradient flow in combination with the short-flow-time expansion provides a computational method where the renormalisation of hadronic matrix elements on the lattice can be simplified to address e.g. the issue that operators with different mass dimension can mix. We demonstrate our gradient flow renormalisation procedure by determining matrix elements of four-quark operators describing neutral meson mixing or meson lifetimes. While meson mixing calculations are well-established on the lattice and serve to validate our procedure, a lattice calculation of matrix elements for heavy meson lifetimes is still outstanding. Preliminary results for mesons formed of a charm and strange quark are presented.
Forward citations
Cited by 2 Pith papers
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Next-to-next-to-leading QCD corrections to the $\mathbf{B^+}$-$\mathbf{B_d^0}$, $\mathbf{D^+}$-$\mathbf{D^0}$, and $\mathbf{D_s^+}$-$\mathbf{D^0}$ lifetime ratios
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
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$B$-meson decay width up to $1/m_b^3$ corrections within and beyond the Standard Model
Complete analytic HQE matching coefficients for B-meson decay widths up to 1/m_b^3 are derived for generic new-physics operators, including previously missing weak-annihilation terms.
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