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We propose a general method to obtain accurate estimates for some of the "low-energy constants" in the one-loop effective chiral Lagrangian by means of simulating lattice QCD. In particular, the method is sensitive to those constants whose…

High Energy Physics - Lattice · Physics 2011-02-01 Jochen Heitger , Rainer Sommer , Hartmut Wittig

We compute mixed QCD-weak corrections to inclusive Higgs production at the LHC from the partonic process $g g \rightarrow H q \bar{q}$. We start from the UV- and IR-finite one-loop weak amplitude and consider its interference with the…

High Energy Physics - Phenomenology · Physics 2019-05-22 Valentin Hirschi , Simone Lionetti , Armin Schweitzer

We report on the calculation of the factorisable one-loop weak-interaction corrections to the initial and final states for three-jet observables in electron-positron annihilations. We show that such corrections are of a few percent at…

High Energy Physics - Phenomenology · Physics 2011-07-19 E. Maina , S. Moretti , D. A. Ross

We calculate the leading contribution to the weak $\Lambda \Lambda K$ coupling in heavy baryon chiral perturbation theory, including the SU(3) breaking terms arising at one-loop. This coupling gives the leading one-boson exchange amplitude…

Nuclear Theory · Physics 2008-11-26 Martin J. Savage , Roxanne P. Springer

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 analyze the chiral behavior of the hadron spectrum obtained with quenched Wilson fermions on 170 $32^3 \times 64$ lattices at $\beta = 6.0$. We calculate masses of hadrons composed of both degenerate and non-degenerate quarks. We reduce…

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta , Stephen Sharpe

We calculate the top quark loop corrections to the Zbb vertex in the chiral lagrangian of the dynamical electroweak symmetry breaking theory. We use the effective lagrangian based on coset space SU(2) X U(1) / U(1) with the gauge…

High Energy Physics - Phenomenology · Physics 2009-10-28 X. Zhang

We perform the leading one-loop renormalization of the chiral Lagrangian for spinless matter fields living in the fundamental representation of SU(N). The Lagrangian can also be applied to any theory with a spontaneous symmetry breaking of…

High Energy Physics - Phenomenology · Physics 2016-12-21 Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

Using unimproved and non-perturbatively O(a) improved Wilson fermions, results are given for the three lowest moments of unpolarised nucleon structure functions. Renormalisation, chiral extrapolation and the continuum limit of the matrix…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , D. Pleiter , P. Rakow , H. Stuben , G. Schierholz

We examine the meson-baryon interaction in the strangeness S=-1 sector using an effective chiral Lagrangian. Potentials are derived from this Lagrangian and used in a coupled-channel calculation of the low energy observables. The potentials…

Nuclear Theory · Physics 2009-10-28 N. Kaiser , P. B. Siegel , W. Weise

The s-wave meson-baryon interaction in the $S = -1$, $S= 0$ and $S= -2$ sectors is studied by means of coupled channels, using the lowest-order chiral Lagrangian and the N/D method or equivalently the Bethe-Salpeter equation to implement…

Nuclear Theory · Physics 2011-02-09 E. Oset , T. Inoue , M. J. Vicente Vacas , A. Ramos , C. Bennhold

We investigate the $\Delta S = 1,2$ effective weak chiral Lagrangian within the framework of the chiral quark model. Starting from the effective four-quark operators, we derive the effective weak chiral action by integrating out the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Mario Franz , Hyun-Chul Kim , Klaus Goeke

We explore the breaking of Lorentz and CPT invariance in strong interactions at low energy in the framework of chiral perturbation theory. Starting from the set of Lorentz-violating operators of mass-dimension five with quark and gluon…

High Energy Physics - Phenomenology · Physics 2016-08-17 J. P. Noordmans , J. de Vries , R. G. E. Timmermans

Results for nucleon matrix elements (arising from moments of structure functions) and form factors from a mixture of runs using Wilson, clover and overlap fermions (both quenched and unquenched) are presented and compared in an effort to…

We introduce a new class of fractional backward orthogonal functions designed for the spectral approximation of weakly singular adjoint Volterra integral equations. These basis functions generate an approximation space that naturally…

Numerical Analysis · Mathematics 2026-05-29 Mahmoud A. Zaky

Although one-loop calculations provide a realistic description of bulk and single-particle nuclear properties, it is necessary to examine loop corrections to develop a systematic finite-density power-counting scheme for the nuclear…

Nuclear Theory · Physics 2008-11-26 Ying Hu , Jeff McIntire , Brian D. Serot

We reformulate the strong-interaction limit of electronic density functional theory in terms of a classical problem with a degenerate minimum. This allows us to clarify many aspects of this limit, and to write a general solution, which is…

Materials Science · Physics 2007-05-23 Michael Seidl , Paola Gori-Giorgi , Andreas Savin

Recently, the contributions of chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. We argue that a detailed comparison of random matrix theory and lattice…

High Energy Physics - Lattice · Physics 2007-05-23 M. E. Berbenni-Bitsch , M. Göckeler , H. Hehl , S. Meyer , P. E. L. Rakow , A. Schäfer , T. Wettig

The transformation properties of strong penguin operators under the action of the flavor group change when they are considered as operators in (partially) quenched QCD instead of the unquenched theory. As a result, additional operators and…

High Energy Physics - Lattice · Physics 2009-11-11 M. Golterman , E. Pallante

Recent works, mostly related to Ramanujan's mock theta functions, make use of the fact that harmonic weak Maass forms can be combinatorial generating functions. Generalizing works of Waldspurger, Kohnen and Zagier, we prove that such forms…

Number Theory · Mathematics 2008-12-22 Jan H. Bruinier , Ken Ono