New lattice action for heavy quarks

Abstract

We extend the Fermilab method for heavy quarks to include interactions of dimensions 6 and 7 in the action. There are, in general, many new interactions, but we carry out the calculations needed to match the lattice action to continuum QCD at the tree level, finding six non-zero couplings. Using the heavy-quark theory of cutoff effects, we estimate how large the remaining discretization errors are. We find that our tree-level matching, augmented with one-loop matching of the dimension-five interactions, can bring these errors below 1%, at currently available lattice spacings.

43 pp; v2 conforms with PRD version, improving plots and many minor things

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Cited by in corpus (59)

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• Flavor Physics in the Quark Sector
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• B- and D-meson decay constants from three-flavor lattice QCD
• $B_{(s)}^0$-mixing matrix elements from lattice QCD for the Standard Model and beyond
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• D Pi scattering and D meson resonances from lattice QCD
• Update of $|V_{cb}|$ from the $\bar{B}\to D^{\ast }\ell \bar{\nu }$ form factor at zero recoil with three-flavor lattice QCD
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
• Charmed baryons at the physical point in 2+1 flavor lattice QCD
• Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Predicting positive parity $B_s$ mesons from lattice QCD
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• Study of the $Z_c^{+}$ channel using lattice QCD
• The B -> D* l nu form factor at zero recoil from three-flavor lattice QCD: A model independent determination of |V_cb|
• Quarkonium mass splittings in three-flavor lattice QCD
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• D and D_s meson spectroscopy
• Charm quark system at the physical point of 2+1 flavor lattice QCD
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• Challenges in Semileptonic B Decays
• Search for Z_c^+(3900) in the 1^+- channel on the lattice
• A proposal for B-physics on current lattices
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy
• B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD
• Charmonium resonances with $J^{PC}=1^{--}$ and $3^{--}$ from $\bar{D}D$ scattering on the lattice
• The B*Bpi coupling using relativistic heavy quarks
• Standard Model evaluation of ${\epsilon }_K$ using lattice QCD inputs for ${\hat{B}}_K$ and $V_{cb}$
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Splittings of low-lying charmonium masses at the physical point
• A fully non-perturbative charm-quark tuning using machine learning
• On the suitability of the Brillouin action as a kernel to the overlap procedure
• Highly excited $B$, $B_s$ and $B_c$ meson spectroscopy from lattice QCD
• Testing the Standard Model under the weight of heavy flavors
• The Ds and D+ Leptonic Decay Constants from Lattice QCD
• Improvement of heavy-heavy current for calculation of $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$ form factors using Oktay-Kronfeld heavy quarks
• Charmonium Spectroscopy from Lattice QCD
• B-Bbar Mixing and Matching with Fermilab Heavy Quarks
• Charmonium-like states from scattering on the lattice
• Quark Flavor Physics Review
• Heavy-quark meson spectrum tests of the Oktay-Kronfeld action
• Leptonic decays of $B_{(s)}$ and $D_{(s)}$ using the OK action
• Current progress on the semileptonic form factors for $\bar{B}\to D^{\ast }\ell \bar{\nu }$ decay using the Oktay-Kronfeld action
• Progress report on testing robustness of the Newton method in data analysis on 2-point correlation function using a MILC HISQ ensemble
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• $DK$ and $D^{\ast }K$ scattering near threshold
• Semileptonic $B\to D^{(\ast )}\ell \nu$ Decay Form Factors using the Oktay-Kronfeld Action
• Low lying charmonium states at the physical point