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The status of lattice calculations for heavy quark systems is reviewed, focussing on weak matrix elements for leptonic and semi-leptonic decays of heavy mesons. After an assessment of the main systematic errors, results for the decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hartmut Wittig

The lattice method for the calculation of weak decay amplitudes of heavy quark systems is introduced. Results for leptonic and semi-leptonic decays of heavy mesons and $B-\bar{B}$ mixing are reviewed.

High Energy Physics - Lattice · Physics 2007-05-23 Hartmut Wittig

I review a recent analytic method for computing matrix elements of electroweak operators based on the large-Nc expansion. In particular, I give a rather detailed description of the matching of the quark Lagrangian onto the meson chiral…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Peris

This paper explores the effects of finite width in processes of pair production of an extra heavy quark with charge 2/3 (top partner) and its subsequent decay into a bosonic Dark Matter (DM) candidate -- either scalar or vector -- and SM…

High Energy Physics - Phenomenology · Physics 2017-10-09 Stefano Moretti , Dermot O'Brien , Luca Panizzi , Hugo Prager

Semileptonic decays of heavy baryons consisting of one heavy (Q=b,c) and two light (q=u,d,s) quarks are considered in the heavy-quark--light-diquark approximation. The relativistic quasipotential equation is used for obtaining masses and…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Ebert , R. N. Faustov , V. O. Galkin

We study the quantitative unique continuation property of some higher order elliptic operators. In the case of $P=(-\Delta)^m$, where $m$ is a positive integer, we derive lower bounds of decay at infinity for any nontrivial solutions under…

Analysis of PDEs · Mathematics 2015-05-21 Shanlin Huang , Ming Wang , Quan Zheng

Non-leptonic kaon decays are often described through an effective chiral weak Hamiltonian, whose couplings ("low-energy constants") encode all non-perturbative QCD physics. It has recently been suggested that these low-energy constants…

High Energy Physics - Lattice · Physics 2010-02-03 P. Hernandez , M. Laine

In this paper, we explore the limiting weak-type behaviors of some integral operators including maximal operators, singular and fractional integral operators and maximal truncated singular integrals et al. Some optimal limiting weak-type…

Classical Analysis and ODEs · Mathematics 2017-10-31 Weichao Guo , Jianxun He , Huoxiong Wu

Lightcone distribution amplitudes (LCDAs) within the framework of heavy quark effective theory (HQET) play a crucial role in the theoretical description of weak decays of heavy bottom mesons. However, the first-principle determination of…

High Energy Physics - Lattice · Physics 2025-04-04 Xue-Ying Han , Jun Hua , Cai-Dian Lü , Andreas Schäfer , Yushan Su , Wei Wang , Ji Xu , Yibo Yang , Jian-Hui Zhang , Qi-An Zhang , Shuai Zhao

We compute corrections of relative order v^4 to the rates for the decays of ^1S_0 heavy quarkonium into two photons and into light hadrons and for the decays of ^3S_1 heavy quarkonium into a lepton pair and into light hadrons. In…

High Energy Physics - Phenomenology · Physics 2009-11-07 Geoffrey T. Bodwin , Andrea Petrelli

The inclusion of higher-dimensional gauge invariant operators induces new Lorentz structures in Higgs couplings with electroweak gauge boson pairs. This in principle affects the kinematics of Higgs production and decay, thereby modifying…

High Energy Physics - Phenomenology · Physics 2014-03-20 Shankha Banerjee , Satyanarayan Mukhopadhyay , Biswarup Mukhopadhyaya

We provide succinct covariant amplitude decompositions of 2-body weak hadronic decays, with which to compare data, including exclusive rates, helicity amplitudes and polarizations. For weak decays, the systematic dependence of these…

High Energy Physics - Phenomenology · Physics 2008-11-26 R Delbourgo , Dongsheng Liu

The status of lattice calculations of some phenomenology of heavy quarks is presented. Emphasis is on progress made in calculating those quantities relevant to estimating parameters of the quark mixing matrix, namely leptonic decay…

High Energy Physics - Lattice · Physics 2008-11-26 Terrence Draper

In this paper we investigate weighted composition operators between weak and strong vector valued weighted Bergman spaces and Hardy spaces.

Functional Analysis · Mathematics 2012-11-28 Mostafa Hassanlou , Hamid Vaezi

We discuss how the peculiar properties of maximally twisted Wilson fermions can be exploited to set up a consistent LQCD computational scheme in which the CP-conserving matrix elements of the $\Delta S =1,2$ effective weak Hamiltonian can…

High Energy Physics - Lattice · Physics 2016-09-01 Roberto Frezzotti , Giancarlo Rossi

We propose to stabilise HMC simulations of lattice QCD with very light Wilson quarks by splitting the quark determinant into two factors and by treating the factor that includes the contribution of the low modes of the Dirac operator as a…

High Energy Physics - Lattice · Physics 2010-01-21 Martin Lüscher , Filippo Palombi

We study the effect of dimension 7 and 8 operators on inclusive semileptonic B decays and the extraction of |Vcb|. Using moments of semileptonic B decay spectra and information based on the Lowest-Lying State saturation Approximation (LLSA)…

High Energy Physics - Phenomenology · Physics 2016-10-19 Paolo Gambino , Kristopher J. Healey , Sascha Turczyk

For a weakly pseudo-Hermitian linear operator, we give a spectral condition that ensures its pseudo-Hermiticity. This condition is always satisfied whenever the operator acts in a finite-dimensional Hilbert space. Hence weak…

Quantum Physics · Physics 2015-06-26 Ali Mostafazadeh

$K \to \pi$ 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 discussion of the |Delta I|=3/2 amplitudes of the hyperon decays B->B'+pi in the context of chiral perturbation theory. We evaluate the theoretical uncertainty of the lowest-order predictions by calculating the leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jusak Tandean