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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…

High Energy Physics - Lattice · Physics 2019-08-21 C. Culver , M. Mai , A. Alexandru , M. Doring , F. X. Lee

We present a lattice QCD study of the phase shift of $I{=}2$ $\pi\pi$ scattering on the basis of two different approaches: the standard finite volume approach by Luscher and the recently introduced HAL QCD potential method. Quenched QCD…

High Energy Physics - Lattice · Physics 2013-12-06 T. Kurth , N. Ishii , T. Doi , S. Aoki , T. Hatsuda

We deliver lattice results for the $I=0$ $\pi\pi$ elastic $s$-wave scattering length calculated with the MILC $N_f=3$ flavors of the Asqtad-improved staggered fermions. The scattering phase shifts are determined by L\"uscher's formula from…

High Energy Physics - Lattice · Physics 2018-08-08 Ziwen Fu , Xu Chen

In this paper, the $IJ=00, 11, 20$ partial wave $\pi\pi$ scattering phase shifts determined by the lattice QCD approach are analyzed by using a novel dispersive solution of the S-matrix, i.e. the PKU representation, in which the unitarity…

High Energy Physics - Phenomenology · Physics 2022-05-18 Xiu-Li Gao , Zhi-Hui Guo , Zhiguang Xiao , Zhi-Yong Zhou

We present a lattice QCD calculation of phase shift including the chiral and continuum extrapolations in two-flavor QCD. The calculation is carried out for I=2 S-wave $\pi\pi$ scattering. The phase shift is evaluated for two momentum…

Lattice QCD calculation of s-wave hadron scattering lengths in the channels \pi-\pi, \pi-N, K-N, {\bar K}-N and N-N is carried out in the quenched QCD at $\beta=6/g^2=5.7$. A variant of the method of wall sourceis developed for this…

High Energy Physics - Lattice · Physics 2016-08-31 M. Fukugita , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa

We present a data-driven analysis of the resonant S-wave $\pi\pi \to \pi\pi$ and $\pi K \to \pi K$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are accounted for using the Taylor expansion…

High Energy Physics - Phenomenology · Physics 2021-06-30 Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

We use one-loop chiral perturbation theory to compare potential lattice computations of the K+ --> pi+ pi0 decay amplitude at m_K=2m_pi with the experimental value. We find that the combined one-loop effect due to this unphysical pion to…

High Energy Physics - Lattice · Physics 2016-08-25 Maarten F. L. Golterman , Ka Chun Leung

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…

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…

High Energy Physics - Lattice · Physics 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

We investigate the $I=1$ $\pi \pi$ interaction using the HAL QCD method in lattice QCD. We employ the (2+1)-flavor gauge configurations on $32^3 \times 64$ lattice at the lattice spacing $a \approx 0.0907$ fm and $m_{\pi} \approx 411$ MeV,…

High Energy Physics - Lattice · Physics 2021-09-29 Yutaro Akahoshi , Sinya Aoki , Takumi Doi

We study the quasi-two-body decays $B\to D K^*(892) \to D K\pi$ by employing the perturbative QCD approach. The two-meson distribution amplitudes $\Phi_{K\pi}^{\text{$P$-wave}}$ are adopted to describe the final state interactions of the…

High Energy Physics - Phenomenology · Physics 2019-07-22 Ai-Jun Ma , Wen-Fei Wang , Ya Li , Zhen-Jun Xiao

We present a lattice QCD calculation of the $\rho$ meson decay width via the $P$-wave scattering phase shift for the I=1 two-pion system. Our calculation uses full QCD gauge configurations for $N_f=2$ flavors generated using a…

High Energy Physics - Lattice · Physics 2012-08-27 PACS Collaboration , S. Aoki , M. Fukugita , K-I. Ishikawa , N. Ishizuka , K. Kanaya , Y. Kuramashi , Y. Namekawa , M. Okawa , K. Sasaki , A. Ukawa , T. Yoshié

We present a four-body semileptonic charm decay D^+ into K^-pi^+mu^+nu analysis in the range of 0.65 GeV/c^2 < mkpi < 1.5 GeV/c^2. We observe a low mass scalar contribution of 5.30 +- 0.74 + 0.99 - 0.96 % with respect to the total D^+ into…

High Energy Physics - Experiment · Physics 2007-05-23 Fermilab FOCUS Collaboration , J. M. Link

We determine the decay constants of the pi and K mesons on gluon field configurations from the MILC collaboration including u, d, s and c quarks. We use three values of the lattice spacing and u/d quark masses going down to the physical…

High Energy Physics - Lattice · Physics 2013-12-23 R. J. Dowdall , C. T. H. Davies , G. P. Lepage , C. McNeile

The feasibility of using $\pi^{\rm \pm}$K$^0_{\rm S}$ femtoscopy to experimentally study the K$^*_0(700)$ resonance is considered. The K$^*_0(700)$ resonance is challenging to study due to its broad width and proximity in mass to the…

High Energy Physics - Phenomenology · Physics 2018-10-26 T. J. Humanic

$K\pi$ $S$ wave scattering is studied using a chiral unitary approach (ChUT) taking into account coupled channels. With the amplitudes derived from the lowest order chiral Lagrangian as the kernel of a set of coupled channel Bathe-Salpeter…

High Energy Physics - Phenomenology · Physics 2008-11-26 Feng-Kun Guo , Rong-Gang Ping , Peng-Nian Shen , Huan-Ching Chiang , Bing-Song Zou

Charged and neutral B decays into two charged pions and a charged or a neutral kaon are analyzed within the QCD factorization scheme where final state interactions before and after hadronization are included. The K*(892) and K*(1430)…

High Energy Physics - Phenomenology · Physics 2015-03-13 O. Leitner , J. -P. Dedonder , B. Loiseau , R. Kaminski

Delta I=3/2, K to Pi Pi matrix elements are calculated on 68 configurations of quenched 24^3 x 64 lattices using the DBW2 action, and domain wall fermions with L_s=16. The lattice spacing is a^(-1)=1.3 GeV, corresponding to a physical…

High Energy Physics - Lattice · Physics 2010-03-18 Matthew Lightman , Elaine Goode

In a combined study of the decay spectra of $\tau^-\to K_S\pi^-\nu_\tau$ and $\tau^-\to K^-\eta\nu_\tau$ decays within a dispersive representation of the required form factors, we illustrate how the $K^*(1410)$ resonance parameters, defined…

High Energy Physics - Phenomenology · Physics 2014-09-11 R. Escribano , S. González-Solís , M. Jamin , P. Roig
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