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We properly define off-shell $K\to\pi$ transition amplitudes and use them to extract information for on-shell $K\to\pi\pi$ amplitudes within Chiral Perturbation Theory. At order $p^2$ in the chiral expansion all three parameters of weak…

High Energy Physics - Phenomenology · Physics 2009-10-31 Johan Bijnens , Elisabetta Pallante , Joaquim Prades

We discuss developments in calculating multi-hadron form-factors and transition processes via lattice QCD. Our primary tools are finite-volume scaling relations, which map spectra and matrix elements to the corresponding multi-hadron…

High Energy Physics - Lattice · Physics 2021-11-02 Andrew W. Jackura

We study CP violation and the contribution of the strong kaon-pion interactions in the three body B --> K pi+ pi- decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding…

High Energy Physics - Phenomenology · Physics 2011-03-23 B. El-Bennich , A. Furman , R. Kaminski , L. Lesniak , B. Loiseau , B. Moussallam

Long-distance effects in exclusive rare semileptonic transitions B -> (K, K*) are analysed within a relativistic quark model. The meson transition form factors, describing the meson amplitudes of the effective weak Hamiltonian, are…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Melikhov , N. Nikitin , S. Simula

Recently, formalism has been derived for studying electroweak transition amplitudes for three-body systems both in infinite and finite volumes. The formalism provides exact relations that the infinite-volume amplitudes must satisfy, as well…

High Energy Physics - Lattice · Physics 2024-05-24 Raul A. Briceño , Andrew Jackura , Dimitra A. Pefkou , Fernando Romero-López

Partially quenched theories are theories in which the valence- and sea-quark masses are different. In this paper we calculate the nonanalytic one-loop corrections of some physical quantities: the chiral condensate, weak decay constants,…

High Energy Physics - Lattice · Physics 2008-11-26 Maarten Golterman , Ka Chun Leung

In this talk, we present a framework for studying structural information of resonances and bound states coupling to two-hadron scattering states. This makes use of a recently proposed finite-volume formalism to determine a class of…

High Energy Physics - Lattice · Physics 2018-11-02 Alessandro Baroni , Raúl A. Briceño , Maxwell T. Hansen , Felipe G. Ortega-Gama

We present a comprehensive study of weak transition form factors and decay observables of the $B_s$ meson in transitions to pseudoscalar ($P$) and vector ($V$) mesons. The $B_s \to P(V)$ form factors are calculated using the self-consistent…

High Energy Physics - Phenomenology · Physics 2025-08-26 Thejus Mary S. , Rohit Dhir

We determine the nature of the QCD transition using lattice calculations for physical quark masses. Susceptibilities are extrapolated to vanishing lattice spacing for three physical volumes, the smallest and largest of which differ by a…

High Energy Physics - Lattice · Physics 2009-07-09 Y. Aoki , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

A precision determination of the neutral-pion width would improve determinations of the splitting between the up- and down-quark masses, and matrix elements for the decay of neutral mesons into two photons could play a role in the attempt…

High Energy Physics - Lattice · Physics 2013-02-06 Huey-Wen Lin , Saul D. Cohen

First-principles calculations of multi-hadron dynamics are a crucial goal in lattice QCD. Significant progress has been achieved in developing, implementing, and applying theoretical tools that connect finite-volume quantities to their…

High Energy Physics - Lattice · Physics 2023-01-13 Fernando Romero-López

$K \to \pi$ and $K \to 0$ weak matrix elements of $\Delta S = 1$ operators have been measured in 2+1 flavor domain wall fermion (DWF) QCD on (3 fm)$^3$ lattices with $a^{-1} = 1.73(3)$ GeV. As is well known, using these matrix elements and…

High Energy Physics - Lattice · Physics 2009-04-14 Shu Li , Robert D. Mawhinney for RBC , UKQCD Collaborations

We present a lattice QCD determination of the vector form factor of the kaon semileptonic decay K -> pi l nu which is relevant for the extraction of the CKM matrix element |V_{us}| from experimental data. Our result is based on the gauge…

High Energy Physics - Lattice · Physics 2014-11-06 Nuria Carrasco , Paolo Lami , Vittorio Lubicz , Eleonora Picca , Lorenzo Riggio , Silvano Simula , Cecilia Tarantino

We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method…

High Energy Physics - Lattice · Physics 2025-02-27 André Baião Raposo , Raúl A Briceño , Maxwell T Hansen , Andrew W Jackura

The neutrinoless double-$\beta$ decay is a hypothetical rare nuclear decay, which can be used for determining the neutrino-mass scale. The scheme to use this decay for determining the neutrino-mass scale is one of few limited methods…

Nuclear Theory · Physics 2019-01-23 J. Terasaki

We study the scaling with the number of colors $N_c$ of the weak amplitudes mediating kaon mixing and decay, in the limit of light charm masses ($m_u=m_d=m_s=m_c$). The amplitudes are extracted directly on the lattice for $N_c = 3-7$ (with…

High Energy Physics - Lattice · Physics 2018-04-18 Andrea Donini , Pilar Hernandez , Carlos Pena , Fernando Romero-Lopez

We present a model-independent, non-perturbative relation between finite-volume matrix elements and infinite-volume $\textbf{0}\rightarrow\textbf{2}$ and $\textbf{1}\rightarrow\textbf{2}$ transition amplitudes. Our result accommodates…

High Energy Physics - Lattice · Physics 2015-11-04 Raúl A. Briceño , Maxwell T. Hansen

I review the current status of nonleptonic kaon decays, placing special emphasis on the recent theoretical progress. In particular, I concentrate on 3 points: (i) the improved determination of \epsilon_K, including both perturbative and…

High Energy Physics - Phenomenology · Physics 2013-08-02 Oscar Cata

A lattice QCD study of the strong decay width and coupling constant of decuplet baryons to an octet baryon - pion state is presented. The transfer matrix method is used to obtain the overlap of lattice states with decuplet baryon quantum…

High Energy Physics - Lattice · Physics 2016-06-29 Constantia Alexandrou , John W. Negele , Marcus Petschlies , Andrew V. Pochinsky , Sergey N. Syritsyn

Some recent developments in the calculation of weak matrix elements on the lattice are reviewed. In particular, we concentrate on the application of MPSTV non-perturbative renormalization method to the operators relevant to kaon physics.…

High Energy Physics - Lattice · Physics 2007-05-23 M. Talevi