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Related papers: Heavy-Meson Bag Parameters using Gradient Flow

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We calculate the dimension-six $\Delta Q=0$ four-quark matrix elements describing heavy-meson lifetime ratios using the gradient flow with its short flow-time expansion as a renormalization procedure. On six RBC/UKQCD 2+1-flavor domain-wall…

High Energy Physics - Phenomenology · Physics 2026-03-31 Matthew Black , Robert V. Harlander , Jonas T. Kohnen , Fabian Lange , Antonio Rago , Andrea Shindler , Oliver Witzel

Neutral meson mixing and meson lifetimes are theory-side parametrised in terms four-quark operators which can be determined by calculating weak decay matrix elements using lattice Quantum Chromodynamics. While calculations of meson mixing…

High Energy Physics - Lattice · Physics 2023-10-30 Matthew Black , Robert Harlander , Fabian Lange , Antonio Rago , Andrea Shindler , Oliver Witzel

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…

High Energy Physics - Lattice · Physics 2024-12-02 Matthew Black , Robert Harlander , Fabian Lange , Antonio Rago , Andrea Shindler , Oliver Witzel

We propose a new and simple method for determining the renormalized quark masses from lattice simulations. Renormalized quark masses are an important input to many phenomenological applications, including searching and modeling physics…

High Energy Physics - Lattice · Physics 2026-03-31 Matthew Black , Robert V. Harlander , Anna Hasenfratz , Antonio Rago , Oliver Witzel

To study the CP-violation using the $K_0-\bar{K}_0$ oscillation, we need the kaon bag parameter which represents QCD corrections in the leading Feynman diagrams. The lattice QCD provides us with the only way to evaluate the kaon bag…

High Energy Physics - Lattice · Physics 2020-09-02 Asobu Suzuki , Yusuke Taniguchi , Hiroshi Suzuki , Kazuyuki Kanaya

We present unquenched lattice QCD results for the matrix elements of four-fermion operators relevant to the description of the neutral K and D mixing in the Standard Model and its extensions. We have employed simulations with Nf = 2 + 1 + 1…

High Energy Physics - Lattice · Physics 2019-08-14 N. Carrasco , P. Dimopoulos , R. Frezzotti , V. Lubicz , G. C Rossi , S. Simula , C. Tarantino

We present a preliminary study of the neutral kaon mixing bag parameter BK using two flavors of dynamical Wilson fermions. We determine the matrix element of the relevant DeltaS=2 operator by using both the conventional approach and the so…

High Energy Physics - Lattice · Physics 2007-05-23 F. Mescia , V. Gimenez , V. Lubicz , G. Martinelli , S. Simula , C. Tarantino

We present preliminary results of a non-perturbative study of the scale-dependent renormalization constants of a complete basis of Delta F=2 parity-odd four-fermion operators that enter the computation of hadronic B-parameters within the…

High Energy Physics - Lattice · Physics 2014-12-05 Mauro Papinutto , Carlos Pena , David Preti

The gradient flow exponentially suppresses ultraviolet field fluctuations and removes ultraviolet divergences (up to a multiplicative fermionic wavefunction renormalization). It can be used to describe real-space Wilsonian renormalization…

High Energy Physics - Lattice · Physics 2022-02-21 Anna Hasenfratz , Christopher J. Monahan , Matthew D. Rizik , Andrea Shindler , Oliver Witzel

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of…

High Energy Physics - Lattice · Physics 2018-11-19 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

We perform a non-perturbative study of the scale-dependent renormalisation factors of a complete set of dimension-six four-fermion operators. The renormalisation-group (RG) running is determined in the continuum limit for a specific…

High Energy Physics - Lattice · Physics 2018-08-15 Petros Dimopoulos , Gregorio Herdoíza , Mauro Papinutto , Carlos Pena , David Preti , Anastassios Vladikas

The gradient-flow formalism proves to be a useful tool in lattice calculations of quantum chromodynamics. For example, it can be used as a scheme to renormalize composite operators by inverting the short-flow-time expansion of the…

High Energy Physics - Lattice · Physics 2024-11-05 Janosch Borgulat , Robert V. Harlander , Jonas T. Kohnen , Fabian Lange

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…

High Energy Physics - Lattice · Physics 2019-12-04 R. J. Dowdall , C. T. H. Davies , R. R. Horgan , G. P. Lepage , C. J. Monahan , J. Shigemitsu , M. Wingate

We introduce a new parameterization of four-fermion operator matrix elements which does not involve quark masses and thus allows a reduction of systematic uncertainties. In order to simplify the matching between lattice and continuum…

High Energy Physics - Lattice · Physics 2009-10-31 A. Donini , V. Gimenez , L. Giusti , G. Martinelli

We establish a factorization relation between baryon quasi-distribution amplitudes (quasi-DAs) defined with gradient flow and their counterparts renormalized in the $\overline{MS}\,$ scheme. Working beyond the small flow-time limit, we…

High Energy Physics - Phenomenology · Physics 2025-10-17 Jia-lu Zhang , Mu-Hua Zhang

We report on a sub-percent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed on 22 ensembles of $N_f=2+1+1$ highly improved, rooted staggered sea-quark configurations generated by the…

We present results for the matrix elements of the additional $\Delta S=2$ operators that appear in models of physics beyond the Standard Model (BSM), expressed in terms of four BSM $B$-parameters. Combined with experimental results for…

We compute the renormalisation factors (Z-matrices) of the $\Delta F=2$ four-quark operators needed for Beyond the Standard Model (BSM) kaon mixing. We work with nf=2+1 flavours of Domain-Wall fermions whose chiral-flavour properties are…

High Energy Physics - Lattice · Physics 2017-11-22 P. A. Boyle , N. Garron , R. J. Hudspith , C. Lehner , A. T. Lytle

We calculate non-perturbative renormalization factors at hadronic scale for $\Delta S=2$ four-quark operators in quenched domain-wall QCD using the Schr\"{o}dinger functional method. Combining them with the non-perturbative renormalization…

High Energy Physics - Lattice · Physics 2019-08-14 Yousuke Nakamura , Sinya Aoki , Yusuke Taniguchi , Tomoteru Yoshié

We compute the hadronic matrix elements of the four-quark operators relevant for $K^0-{\bar K^0}$ mixing beyond the Standard Model. Our results are from lattice QCD simulations with $n_f=2+1$ flavours of domain-wall fermion, which exhibit…

High Energy Physics - Lattice · Physics 2016-11-08 Nicolas Garron , Renwick J. Hudspith , Andrew T. Lytle
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