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In order to directly compute physical two-pion K-decay amplitudes using lattice methods we must prepare a two-pion state with non-zero relative momentum. Building upon a proposal of Lellouch and L\"uscher, we describe a finite-volume method…

高能物理 - 格点 · 物理学 2009-11-07 Changhoan Kim , Norman H. Christ

We review two lattice calculations involving charm hadrons: a determination of the vector and scalar form factors of the semileptonic $D \to \pi \ell \nu$ decays, which are relevant for the extraction of the CKM matrix element $\lvert…

高能物理 - 格点 · 物理学 2017-02-02 Lorenzo Riggio , Giorgio Salerno

We present the status of a lattice calculation for the K-->pipi matrix elements of the (delta S=1) effective weak Hamiltonian, directly with two pion in the final state. We study the energy shift of two pion in a finite volume both in the…

We study the dependence on the charm quark mass of the leading-order low-energy constants of the $\Delta S=1$ effective Hamiltonian, with the aim of elucidating the role of the charm mass scale in the $\Delta I=1/2$ rule for $K\to\pi\pi$…

高能物理 - 格点 · 物理学 2016-07-08 Eric Endress , Carlos Pena

We report preliminary results from an ongoing calculation of $B_K$ for $N_f=2$ dynamical QCD with domain wall fermions. Simulations have been done with three dynamical quark masses on $16^3 \times 32$ volumes with $L_s = 12$, where the…

高能物理 - 格点 · 物理学 2019-08-14 Taku Izubuchi

We present the current status of a non-perturbative lattice calculation of the moments of the pion and kaon distribution amplitudes by the RQCD collaboration. Our investigation is carried out using $N_f=2+1$ dynamical, non-perturbatively…

We simulate a theory with two dynamical O($a$) improved Wilson quarks whose mass $M$ ranges from a factor eight up to a factor two below the charm quark mass and at three values of the lattice spacing ranging from 0.066 to 0.034 fm. This…

We present the first-ever lattice computation of pi pi-scattering in the I=1 channel with Nf=2 dynamical quark flavours obtained including an ensemble with physical value of the pion mass. Employing a global fit to data at three values of…

We present a lattice quantum chromodynamics (QCD) calculation of the $x$-dependent pion and kaon distribution amplitudes (DA) in the framework of large momentum effective theory. This calculation is performed on a fine lattice of $a=0.076$…

高能物理 - 格点 · 物理学 2024-12-13 Ian Cloet , Xiang Gao , Swagato Mukherjee , Sergey Syritsyn , Nikhil Karthik , Peter Petreczky , Rui Zhang , Yong Zhao

We discuss the time dependent interferences between $K_L$ and $K_S$ in the decays in $3\pi$ and $\pi\pi\gamma$, to be studied at interferometry machines such as the $\phi$-factory and LEAR. We emphasize the possibilities and the advantages…

高能物理 - 唯象学 · 物理学 2010-11-01 G. D'Ambrosio , N. Paver

Using lattice QCD we extract $\pi\pi$ scattering amplitudes with isospin--0,1,2 in low partial-waves at two values of the light quark mass corresponding to $m_\pi \sim 283$ and $330$ MeV. We confirm expectations of weak repulsion in…

高能物理 - 格点 · 物理学 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between $0.06 \, \mathrm {fm}$ and $0.08 \, \mathrm {fm}$…

高能物理 - 格点 · 物理学 2015-10-27 V. M. Braun , S. Collins , M. Göckeler , P. Pérez-Rubio , A. Schäfer , R. W. Schiel , A. Sternbeck

Kaon in-medium masses and mean-field potentials are calculated in isotopically symmetric pion matter to one loop of chiral perturbation theory. The results are extended to RHIC temperatures using experimental data on $\pi K$ scattering…

核理论 · 物理学 2009-11-07 B. V. Martemyanov , Amand Faessler , C. Fuchs , M. I. Krivoruchenko

We present results on the mass of the baryon octet and decuplet using two flavors of light dynamical twisted mass fermions. The strange quark mass is fixed to its physical value from the kaon sector in a partially quenched set up.…

高能物理 - 格点 · 物理学 2010-01-21 V. Drach , M. Brinet , J. Carbonell , Z. Liu , C. Alexandrou , T. Korzec , G. Koutsou , R. Baron , P. Guichon , O. Pène , E. Pallante , S. Reker , C. Urbach , K. Jansen

We present a method to calculate the pion screening mass in 2+1-flavor lattice QCD to $\mathcal{O}(\mu^2_\ell)$, where $\mu_\ell$ is the isoscalar chemical potential. Our approach is based on the expression for the free theory pion…

高能物理 - 格点 · 物理学 2024-01-09 Prasad Hegde , Rishabh Thakkar

We present a lattice calculation of the electromagnetic form factor of the pion obtained using the tree-level Symanzik improved gauge action with two flavors of dynamical twisted Wilson quarks. The simulated pion masses range approximately…

高能物理 - 格点 · 物理学 2009-11-06 R. Frezzotti , V. Lubicz , S. Simula

We investigate the low-lying baryon spectrum using three $N_f$=2+1+1 ensembles simulated with physical values of the quark masses and lattice spacings of 0.080, 0.069, and 0.057 fm. The ensembles are generated using twisted mass…

高能物理 - 格点 · 物理学 2024-01-10 Constantia Alexandrou , Simone Bacchio , Georgios Christou , Jacob Finkenrath

We have simulated QCD using 2+1 flavors of domain wall quarks on a $(2.74 {\rm fm})^3$ volume with an inverse lattice scale of $a^{-1} = 1.729(28)$ GeV. The up and down (light) quarks are degenerate in our calculations and we have used four…

Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of…

高能物理 - 格点 · 物理学 2019-08-21 C. Culver , M. Mai , A. Alexandru , M. Doring , F. X. Lee

One of the systematic errors in some of the current lattice computations of the HVP contribution to the muon anomalous magnetic moment $g-2$ is that associated with the extrapolation to the physical pion mass. We investigate this…

高能物理 - 格点 · 物理学 2018-04-18 Maarten Golterman , Kim Maltman , Santiago Peris
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