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Related papers: Finite Volume Errors in $B_K$

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The $B_K$ parameter is computed in quenched lattice QCD with Wilson twisted mass fermions. Two variants of tmQCD are used; in both of them the relevant $\Delta S = 2$ four-fermion operator is renormalised multiplicatively. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Dimopoulos , J. Heitger , F. Palombi , C. Pena , S. Sint , A. Vladikas

Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. To quote credible estimates of the systematic uncertainties in these calculations, one must…

High Energy Physics - Lattice · Physics 2018-11-06 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

We extend previous work on finite-size effects with dynamical staggered quarks to the quenched approximation. We again emphasize the large volume limit that is of interest for spectrum calculations which may hope to approach the…

High Energy Physics - Lattice · Physics 2009-10-28 Steven Gottlieb

The next to leading order chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner (GMOR) relation are obtained using the pseudoscalar correlator to five-loop order in perturbative QCD, together with new finite energy sum rules…

High Energy Physics - Phenomenology · Physics 2012-01-25 J. Bordes , C. A. Dominguez , P. Moodley , J. Peñarrocha , K. Schilcher

We study an accurate method for the lattice calculation of the B*Bpi Coupling in the static limit, paying particular attention to excited state contamination. As this coupling is a parameter of the heavy meson chiral Lagrangian, it is…

High Energy Physics - Lattice · Physics 2011-07-08 J. Bulava , M. A. Donnellan , Rainer Sommer

We calculate the logarithmic corrections to the matrix elements for $K^+\to\pi^+$ and $K\to$vacuum (which are used on the lattice to determine $K\to\pi\pi$ amplitudes), in one-loop quenched and unquenched Chiral Perturbation Theory. We find…

High Energy Physics - Lattice · Physics 2015-06-25 Maarten Golterman , Elisabetta Pallante

We present a two-flavor QCD calculation of $B_K$ on a $16^3 \times 32$ lattice at $a\sim 0.12$ fm (or equivalently $a^{-1}\sim$1.67 GeV). Both valence and sea quarks are described by the overlap fermion formulation. The matching factor is…

High Energy Physics - Lattice · Physics 2019-08-13 S. Aoki , H. Fukaya , S. Hashimoto , J. Noaki , T. Kaneko , H. Matsufuru , T. Onogi , N. Yamada

We study the impact of next-to-next-to-leading order (NNLO) QCD corrections on partial decay rates in B --> X_u l nu decays, at leading-order in the 1/m_b expansion for shape-function kinematics. These corrections are implemented within a…

High Energy Physics - Phenomenology · Physics 2010-02-11 C. Greub , M. Neubert , B. D. Pecjak

We study finite-volume effects on the masses of the ground-state octet baryons using covariant baryon chiral perturbation theory (ChPT) up to next-to-leading order by analyzing the latest $n_f=2+1$ lattice Quantum ChromoDynamics (LQCD)…

High Energy Physics - Phenomenology · Physics 2013-05-29 Li-sheng Geng , Xiu-lei Ren , J. Martin-Camalich , W. Weise

In this article, we improve the convergence order of some finite volume solutions approximating some second order elliptic problems. We prove that finite volume approximations of order $O(h^{k+1})$, with $k$ integer, can be obtained after…

Numerical Analysis · Mathematics 2007-05-23 Bilal Atfeh , Abdallah Bradji

We present a calculation of the meson masses, decay constants and quark-antiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns $SU(N_F)\times SU(N_F)\to SU(N_F)_V$, $SU(N_F)\to SO(N_F)$ and…

High Energy Physics - Lattice · Physics 2015-09-15 Johan Bijnens , Thomas Rössler

We study the properties of the B-->pi and B-->K transition form factors in partially quenched QCD by using the approach of partially quenched chiral perturbation theory combined with the static heavy quark limit. We show that the form…

High Energy Physics - Lattice · Physics 2014-11-17 Damir Becirevic , Sasa Prelovsek , Jure Zupan

We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at $O(\alpha)$ are universal, i.e. they are independent of the structure of the meson. This is…

High Energy Physics - Lattice · Physics 2017-03-01 V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

Motivated by the recent anomalies observed in semileptonic decays of B-mesons, the class of models denoted as "4321" is introduced and analysed. The importance of calculating next-to-leading-order (NLO) effects in performing precise…

High Energy Physics - Phenomenology · Physics 2021-05-18 Nudzeim Selimovic

We compute the finite temperature correction to the induced fermion number for fermions coupled to a static SU(2) chiral background, using the derivative expansion technique. At zero temperature the induced fermion number is topological,…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Kumar Rao

Models of new physics induce K-Kbar mixing operators having Dirac structures other than the "left-left" form of the Standard Model. We calculate the functional form of the corresponding B-parameters at next-to-leading order in both SU(3)…

High Energy Physics - Lattice · Physics 2013-05-30 Jon A. Bailey , Hyung-Jin Kim , Weonjong Lee , Stephen R. Sharpe

We compute next-to-leading order (NLO) corrections to next-to-eikonal (NEik) quark background contributions to DIS structure functions. Among NEik corrections, $t$-channel quark exchanges provide the lowest order contributions in…

High Energy Physics - Phenomenology · Physics 2025-12-19 Tolga Altinoluk , Guillaume Beuf , Jules Favrel , Michael Fucilla

We merge heavy quark effective theory with staggered chiral perturbation theory to calculate heavy-light (B, D) meson quantities. We present results at NLO for the $B(D)$ meson decay constant in the partially quenched and full QCD cases,…

High Energy Physics - Lattice · Physics 2009-11-10 C. Aubin , C. Bernard

A general framework for goal-oriented a posteriori error estimation for finite volume methods is presented. The framework does not rely on recasting finite volume methods as special cases of finite element methods, but instead directly…

Numerical Analysis · Mathematics 2011-08-24 Qingshan Chen , Max Gunzburger

Numerical evidence combined with Eguchi-Kawai reduction indicate that there are no finite volumes effects in the large N limit of QCD as long as the linear extent of the four-torus is bigger than a critical size. This is referred to as…

High Energy Physics - Lattice · Physics 2009-11-10 Rajamani Narayanan
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