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The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The…

High Energy Physics - Phenomenology · Physics 2012-04-18 Randall Kelley , Matthew D. Schwartz

A non-perturbative determination of the axial current improvement coefficient cA is performed with two flavors of dynamical improved Wilson fermions and plaquette gauge action. The improvement condition is formulated with Schroedinger…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Della Morte , Roland Hoffmann , Rainer Sommer

We present first results for the step scaling function sigma_P of the renormalization factor Z_P of the pseudoscalar density. The simulations are performed within the framework of the Schroedinger functional with two flavors of O(a)…

High Energy Physics - Lattice · Physics 2009-11-07 F. Knechtli , M. Della Morte , J. Rolf , R. Sommer , I. Wetzorke , U. Wolff

We propose a method for calculating the nucleon form factors (FFs) of $G$-parity-even operators by combining Chiral Effective Field Theory ($\chi$EFT) and dispersion analysis. The FFs are expressed as dispersive integrals over the two-pion…

High Energy Physics - Phenomenology · Physics 2017-11-29 J. M. Alarcón , C. Weiss

Stochastic $\delta N$ formalism is a powerful tool to calculate the cosmological correlators non-perturbatively. However, it requires the initial data for the amplitude of the noise on the initial flat hypersurface which for a free theory…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 Amin Nassiri-Rad , Haidar Sheikhahmadi , Hassan Firouzjahi

We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric…

High Energy Physics - Theory · Physics 2025-03-10 Lorenzo De Lillo , Marialuisa Frau , Alessandro Pini

We determine the improvement factor $c_{SW}$ in one-loop lattice perturbation theory for the plaquette and Symanzik improved gauge actions. The fermionic action is ${\mathcal{O}(a)}$ clover improved with one-time stout smearing. $c_{SW}$ is…

High Energy Physics - Lattice · Physics 2008-11-26 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We compute the fermionic (n_f) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic deep-inelastic scattering at third order of massless perturbative QCD. Complete results are presented for the…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

LHC measurements involve cuts on several observables, but resummed calculations are mostly restricted to single variables. We show how the resummation of a class of double-differential measurements can be achieved through an extension of…

High Energy Physics - Phenomenology · Physics 2015-06-23 Massimiliano Procura , Wouter J. Waalewijn , Lisa Zeune

In a previous paper [1], we have discussed the non-perturbative tuning of the chirally rotated Schroedinger functional (XSF). This tuning is required to eliminate bulk O(a) cutoff effects in physical correlation functions. Using our tuning…

High Energy Physics - Lattice · Physics 2015-06-11 J. Gonzalez Lopez , K. Jansen , D. B. Renner , A. Shindler

Perturbative estimates of operator coefficients for improved lattice actions are becoming increasingly important for precision simulations of many hadronic observables. Following previous work by Dimm, Lepage, and Mackenzie, we consider the…

High Energy Physics - Lattice · Physics 2009-10-30 Howard D. Trottier , G. Peter Lepage

The multiconfiguration self-consistent field (MCSCF) method is revisited with a specific focus on two-electron systems for simplicity. The wave function is represented as a linear combination of Slater determinants. Both the orbitals and…

Chemical Physics · Physics 2026-04-10 Evgueni Dinvay , Rasmus Vikhamar-Sandberg

We discuss fermion coupling in the framework of spinfoam quantum gravity. We analyze the gravity-fermion spinfoam model and its fermion correlation functions. We show that there is a spinfoam analog of PCT symmetry for the fermion fields on…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Muxin Han , Carlo Rovelli

Biochemical oscillations, regulating the timing of life processes, need consume energy to achieve good performance on crucial functions, such as high accuracy of phase period and high sensitivity to external signals. However, it is a great…

Statistical Mechanics · Physics 2022-07-11 Zhiyu Cao , Zhonghuai Hou

We report on simulations with two flavors of O(a) improved degenerate Wilson fermions with Schroedinger functional boundary conditions. The algorithm which is used is Hybrid Monte Carlo with two pseudo-fermion fields as proposed by M.…

High Energy Physics - Lattice · Physics 2009-11-10 M. Della Morte , F. Knechtli , J. Rolf , R. Sommer , I. Wetzorke , U. Wolff

We discuss the improvement of flavour non-singlet point and one-link lattice quark operators, which describe the quark currents and the first moment of the DIS structure functions respectively. Suitable bases of improved operators are…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Goeckeler , R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The analysis of structure-preserving numerical methods for the Poisson--Nernst--Planck (PNP) system has attracted growing interests in recent years. In this work, we provide an optimal rate convergence analysis and error estimate for finite…

Numerical Analysis · Mathematics 2022-02-23 Jie Ding , Cheng Wang , Shenggao Zhou

We want to test the predictive power of Chiral Perturbation Theory (ChPT). In this work, we use the ChPT pion-pion scattering amplitude, including two loop contributions, and we obtain S- and P-wave low-energy phase shifts. We show that, by…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Sa Borges , J. Soares Barbosa , M. D. Tonasse , J. Haidenbauer

Investigations are made on the saddle point calculations (SPC) under the auxiliary field method in path integrations. Two different ways of SPC are considered, Method(I) and Method(II), to be checked in an integral representation of the…

Mathematical Physics · Physics 2009-03-19 Hiroki Aono , Taro Kashiwa

We calculate the leading divergences at NNLO for the octet part of the nonleptonic weak sector of chiral perturbation theory, using renormalization group methods. The role of counterterms which vanish at the equation of motion and their use…

High Energy Physics - Phenomenology · Physics 2009-01-07 Matthias Buchler