Neutral<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>-meson mixing from three-flavor lattice quantum chromodynamics: Determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>-breaking ratio<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ξ</mml:mi><

Bazavov, A.; Bérnard, C.; Bouchard, C.; DeTar, Carleton; Pierro, Massimo Di; El‐Khadra, Aida X.; Evans, R. T.; Freeland, E. D.; Gámiz, E.; Gottlieb, Steven; Heller, Urs M.; Hetrick, J. E.; Jain, Rishee K.; Kronfeld, A. S.; Laiho, J.; Levkova, L.; Mackenzie, Paul B.; Neil, Ethan T.; Oktay, M. B.; Simone, J. N.; Sugar, R.; Toussaint, D.; Water, Ruth S. Van de

doi:10.1103/physrevd.86.034503

Cited by 28 publications

(52 citation statements)

References 98 publications

(111 reference statements)

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“…Our matching results use the MS NDR scheme of [16] (BBGLN). These matrix elements are readily converted to the alternative scheme of [18] (BJU) using the following equations (through (5) to convert matrix elements of lattice NRQCD-HISQ 4-quark operators into MS matrix elements. Results are given for the NRQCD valence b-quark masses (in lattice units) used with our different ensembles.…”

Section: B Lattice Qcd 4-quark Operators and Matchingmentioning

confidence: 99%

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Neutral B -meson mixing from full lattice QCD at the physical point

et al. 2019

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We calculate the bag parameters for neutral B-meson mixing in and beyond the Standard Model, in full four-flavour lattice QCD for the first time. We work on gluon field configurations that include the effect of u, d, s and c sea quarks with the Highly Improved Staggered Quark (HISQ) action at three values of the lattice spacing and with three u/d quark masses going down to the physical value. The valence b quarks use the improved NRQCD action and the valence light quarks, the HISQ action. Our analysis was blinded. Our results for the bag parameters for all five operators are the most accurate to date. For the Standard Model operator between Bs and B d mesons we find: BB s = 1.232(53),BB d = 1.222(61). Combining our results with lattice QCD calculations of the decay constants using HISQ quarks from the Fermilab/MILC collaboration and with experimental values for Bs and B d oscillation frequencies allows determination of the CKM elements Vts and V td . We find Vts = 0.04189(93), V td = 0.00867(23) and Vts/V td = 0.2071(27). Our results agree well (within 2σ) with values determined from CKM unitarity constraints based on tree-level processes (only). Using a ratio to ∆M in which CKM elements cancel in the Standard Model, we determine the branching fractions Br(Bs → µ + µ − ) = 3.81(18) × 10 −9 and Br(B d → µ + µ − ) = 1.031(54) × 10 −10 . We also give results for matrix elements of the operators R0, R1 andR1 that contribute to neutral B-meson width differences.

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Section: B Lattice Qcd 4-quark Operators and Matchingmentioning

confidence: 99%

“…The first unquenched lattice QCD calculations of the matrix elements for neutral B meson mixing focussed purely on results for the Standard Model operators [3,4] and ratios for B s to B d [5]. Calculations have also been done in the infinite heavy quark mass limit [6].…”

Section: Introductionmentioning

confidence: 99%

Neutral B -meson mixing from full lattice QCD at the physical point

et al. 2019

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“…[45]. In particular, we first construct a specific combination of a light-quark propagator, heavyquark propagator, and The valence light-quark propagators are generated using the asqtad action.…”

Section: B Lattice Correlation Functionsmentioning

confidence: 99%

“…We remove tree-level, OðaÞ discretization errors from the four-fermion operator by rotating the heavy-quark field ψðxÞ following Ref. [45],…”

Section: B Lattice Correlation Functionsmentioning

confidence: 99%

Short-distance matrix elements for D0 -meson mixing from Nf=2+1 lattice QCD

et al. 2018

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We calculate in three-flavor lattice QCD the short-distance hadronic matrix elements of all five ΔC ¼ 2 four-fermion operators that contribute to neutral D-meson mixing both in and beyond the Standard Model. We use the MILC Collaboration's N f ¼ 2 þ 1 lattice gauge-field configurations generated with asqtadimproved staggered sea quarks. We also employ the asqtad action for the valence light quarks and use the clover action with the Fermilab interpretation for the charm quark. We analyze a large set of ensembles with pions as light as M π ≈ 180 MeV and lattice spacings as fine as a ≈ 0.045 fm, thereby enabling good control over the extrapolation to the physical pion mass and continuum limit. We obtain for the matrix elements in theMS-NDR scheme using the choice of evanescent operators proposed by Beneke et al., evaluated at 3 GeV, hD 0 jO i jD 0 i ¼ f0.0805ð55Þð16Þ; −0.1561ð70Þð31Þ; 0.0464ð31Þð9Þ; 0.2747ð129Þð55Þ; 0.1035ð71Þð21Þg GeV 4 (i ¼ 1-5). The errors shown are from statistics and lattice systematics, and the omission of charmed sea quarks, respectively. To illustrate the utility of our matrix-element results, we place bounds on the scale of CP-violating new physics in D 0 mixing, finding lower limits of about 10-50 × 10 3 TeV for couplings of Oð1Þ. To enable our results to be employed in more sophisticated or model-specific phenomenological studies, we provide the correlations among our matrix-element results. For convenience, we also present numerical results in the other commonly used scheme of Buras, Misiak, and Urban.

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“…The most precise computation to date for |V td | and |V ts |, or alternatively ∆m d,s , is recently available from the Fermilab/MILC collaboration [46], building on previous results for B mixing matrix elements [47,48,49,50,51,52]. These predictions are achieved via a three flavor lattice QCD calculation for the neutral B mixing hadronic matrix elements, B |O q i |B , with O q i combinations of scalar, pseudoscalar, vector and axial vector four-quark operators as required by the theory of interest.…”

Section: Lattice Calculationsmentioning

confidence: 99%