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In this work, we perform a lattice QCD calculation of the branching ratios and the form factors of radiative leptonic decays $P \to \ell \nu_\ell \gamma$ ($P = \pi, K$) using $N_f=2+1$ domain wall fermion ensembles generated by the RBC and…

High Energy Physics - Lattice · Physics 2026-04-29 Peter Boyle , Norman H. Christ , Xu Feng , Taku Izubuchi , Luchang Jin , Christopher T. Sachrajda , Xin-Yu Tuo

Drawing on recent advances in lattice-QCD background-field techniques, the magnetic polarisability of octet baryons is calculated from the first principles of QCD. The results are presented in the context of new constituent quark-model…

High Energy Physics - Lattice · Physics 2024-10-23 Thomas Kabelitz , Ryan Bignell , Waseem Kamleh , Derek Leinweber

We study the electric polarizability of a charged kaon from four-point functions in lattice QCD as an alternative to the background field method. Lattice four-point correlation functions are constructed from quark and gluon fields to be…

High Energy Physics - Lattice · Physics 2025-03-07 Shayan Nadeem , Walter Wilcox , Frank X. Lee

We compute the slope and curvature, at vanishing four-momentum transfer squared, of the leading order hadron vacuum polarization function, using lattice QCD. Calculations are performed with 2+1+1 flavors of staggered fermions directly at…

High Energy Physics - Lattice · Physics 2017-11-01 Sz. Borsanyi , Z. Fodor , T. Kawanai , S. Krieg , L. Lellouch , R. Malak , K. Miura , K. K. Szabo , C. Torrero , B. Toth

The evaluation of the interaction between objects arranged on a lattice requires the computation of lattice sums. A scenario frequently encountered are systems governed by the Helmholtz equation in the context of electromagnetic scattering…

Optics · Physics 2023-01-25 Dominik Beutel , Ivan Fernandez-Corbaton , Carsten Rockstuhl

Updated predictions for the decay constants of the D, Ds, B and Bs mesons obtained from Borel QCD sum rules for heavy-light currents are presented and compared with the recent lattice averages performed by the Flavor Lattice Averaging…

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Lucha , D. Melikhov , S. Simula

We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of…

High Energy Physics - Phenomenology · Physics 2019-04-09 Philipp Gubler , Daisuke Satow

We utilize a previously constructed thermodynamic $T$-matrix approach to the quark-gluon plasma (QGP) to calculate Wilson line correlators (WLCs) of a static quark-antiquark pair and apply them to the results from 2+1-flavor lattice-QCD…

High Energy Physics - Lattice · Physics 2023-10-31 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp

We employ the light cone QCD sum rules to calculate $\Delta\pi N$ coupling constant by studying the two point correlation function between the vacuum and the pion state. Our result is consistent with the traditional QCD sum rules…

Nuclear Theory · Physics 2008-11-26 A. Gokalp , O. Yilmaz

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

We present a first systematic study of $I=1/2$ proton-$\Lambda$ ($p$-$\Lambda$) scattering from lattice QCD, using seven sets of $(2+1)$-flavor lattice ensembles with pion masses spanning 135-317 MeV and three lattice spacings with…

High Energy Physics - Lattice · Physics 2026-03-09 Hang Liu , Liuming Liu , Jin-Xin Tan , Wei Wang , Haobo Yan , Qian-Teng Zhu

We formulate a new algorithm for obtaining the effective continuum threshold in vacuum-to-bound-state correlators - the basic objects for the calculation of hadron form factors in the method of light-cone sum rules in QCD. The effective…

High Energy Physics - Phenomenology · Physics 2010-01-07 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian , Silvano Simula

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

High Energy Physics - Phenomenology · Physics 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q^2 of about 2 GeV^2 the results are very close to the predictions of perturbative QCD. Below this scale we see signs…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

Taking the example of the most popular and well-established Borel / Laplace / Exponential sum rule (LSR), I shortly review some of its recent applications in hadron physics namely the estimates of non-perturbative condensates, the…

High Energy Physics - Phenomenology · Physics 2014-10-07 Stephan Narison

A correlator of the vector current of a heavy quark is computed analytically near threshold in the next-to-next-to-leading order in perturbative and relativistic expansion that includes $\al_s^2$, $\al_sv$ and $v^2$ corrections in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Penin , A. A. Pivovarov

We analyze QCD and Weinberg-type sum rules in a low-temperature pion gas using vector and axial-vector spectral functions following from the model-independent chiral-mixing scheme. Toward this end we employ recently constructed vacuum…

High Energy Physics - Phenomenology · Physics 2013-05-02 Nathan P. M. Holt , Paul M. Hohler , Ralf Rapp

For full QCD vacuum expectation values we construct an expansion in quark loop count and in powers of a coupling constant. The leading term in this expansion is the valence (quenched) approximation vacuum expectation value. Higher terms…

High Energy Physics - Lattice · Physics 2009-10-31 W. Lee , D. Weingarten

In this work, we strive to gain insight into thermal modifications of charmonium and bottomonium bound states as well as the heavy quark diffusion coefficient. The desired information is contained in the spectral function which can not be…

High Energy Physics - Lattice · Physics 2020-08-13 H. -T. Ding , O. Kaczmarek , A. -L. Kruse , H. Ohno , H. Sandmeyer

We develop a method for lattice QCD calculation of the two-photon exchange (TPE) contribution to the muonic-hydrogen Lamb shift. To demonstrate the feasibility of this method, we also present an exploratory study with a gauge ensemble at…

High Energy Physics - Lattice · Physics 2022-04-15 Yang Fu