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Related papers: Recursive Approach to One-loop QCD Matrix Elements

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The quark chromoelectric dipole (qCEDM) operator is a CP-violating operator describing, at hadronic energies, beyond-the-standard-model contributions to the electric dipole moment of particles with nonzero spin. In this paper we define…

High Energy Physics - Lattice · Physics 2022-04-15 Emanuele Mereghetti , Christopher J. Monahan , Matthew D. Rizik , Andrea Shindler , Peter Stoffer

In a previous paper the generator matrix elements and (dual) vector reduced Wigner coefficients (RWCs) were evaluated via the polynomial identities satisfied by a certain matrix constructed from the $R$-matrix $R$ and its twisted…

Mathematical Physics · Physics 2019-09-04 Mark D. Gould , Phillip S. Isaac

We expose (without proofs) a unified computational approach to integrable structures (including recursion, Hamiltonian, and symplectic operators) based on geometrical theory of partial differential equations. We adopt a coordinate based…

Exactly Solvable and Integrable Systems · Physics 2012-07-17 Iosif Krasil'shchik , Alexander Verbovetsky , Raffaele Vitolo

Recursion formulae are derived for the calculation of two centre matrix elements of a radial function in relativistic quantum mechanics. The recursions are obtained between not necessarily diagonal radial eigensates using arbitrary radial…

We review techniques simplifying the analytic calculation of one-loop QCD amplitudes with many external legs, for use in next-to-leading-order corrections to multi-jet processes. Particularly useful are the constraints imposed by…

High Energy Physics - Phenomenology · Physics 2016-09-01 Z. Bern , G. Chalmers , L. Dixon , D. C. Dunbar , D. A. Kosower

We calculate the one-loop QCD correction for inclusive jet cross section and Drell-Yan process in a general low-energy effective Lagrangian for composite quarks and leptons.

High Energy Physics - Phenomenology · Physics 2009-10-28 Taekoon Lee

In this paper, we study three applications of recursion to problems in coding and random permutations. First, we consider locally recoverable codes with partial locality and use recursion to estimate the minimum distance of such codes. Next…

Combinatorics · Mathematics 2020-12-22 Ghurumuruhan Ganesan

We present the first application of the background field method to Non-Relativistic QCD (NRQCD) on the lattice in order to determine the one-loop radiative corrections to the coefficients of the NRQCD action in a manifestly gauge-covariant…

High Energy Physics - Lattice · Physics 2015-09-21 T. C. Hammant , A. G. Hart , G. M. von Hippel , R. R. Horgan , C. J. Monahan

In this paper we consider the matching coefficients up to two loops between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) for the vector, axial-vector, scalar and pseudo-scalar currents. The structure of the effective theory…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. A. Kniehl , A. Onishchenko , J. H. Piclum , M. Steinhauser

We derive the topological susceptibility to the one-loop order in the chiral effective theory of QCD, for an arbitrary number of flavors.

High Energy Physics - Lattice · Physics 2019-08-13 Yao-Yuan Mao , Ting-Wai Chiu

We evaluate the three-loop corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and non-relativistic QCD. The result is presented in the MSbar scheme where large perturbative corrections are…

High Energy Physics - Phenomenology · Physics 2014-03-05 Peter Marquard , Jan H. Piclum , Dirk Seidel , Matthias Steinhauser

We report a method for the evaluation of the one-loop self-energy, to all orders in the external binding field, using a Gaussian basis set expansion. This choice of basis is motivated by its widespread use in molecular calculations. For a…

Quantum Physics · Physics 2025-04-14 Dávid Ferenc , Maen Salman , Trond Saue

Quantum loops in the Resonance Chiral Theory are needed to improve the implementation of non-perturbative QCD. Furthermore, the one-loop computations can predict chiral low-energy couplings at next-to-leading order, a very appealing task.…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Rosell

In the low-energy effective action of string theories, non-abelian gauge interactions and supergravity are augmented by infinite towers of higher-mass-dimension operators. We propose a new method to construct one-loop matrix elements with…

High Energy Physics - Theory · Physics 2022-08-03 Alex Edison , Max Guillen , Henrik Johansson , Oliver Schlotterer , Fei Teng

In a previous publication, we have constructed the Schr\"odinger functional in Wilson's lattice QCD. It was found that the naive continuum limit leads to a well-defined classical continuum theory. Starting from the latter, a formal…

High Energy Physics - Lattice · Physics 2009-10-28 Stefan Sint

The first one-loop higher-derivative contribution to the effective action of the Lorentz-breaking spinor QED is obtained and shown to be finite and ambiguous.

High Energy Physics - Theory · Physics 2012-12-14 T. Mariz , J. R. Nascimento , A. Yu. Petrov

In this paper, we introduce a simple and efficient approach for the general reduction of one-loop integrals. Our method employs the introduction of an auxiliary vector and the identification of the tensor structure as an auxiliary…

High Energy Physics - Phenomenology · Physics 2024-05-01 Liang Zhang

In this paper, we present a general quantum computation compiler, which maps any given quantum algorithm to a quantum circuit consisting a sequential set of elementary quantum logic gates based on recursive cosine-sine decomposition. The…

Quantum Physics · Physics 2015-06-11 Y. G. Chen , J. B. Wang

I discuss one-loop QCD corrections to the forward backward asymmetry of the b-quark at LEP in a way appropriate to the present experimental procedure. I try to give insight into the structure of the corrections and elucidate some questions…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Lampe

We report on the next-to-leading order QCD calculation for e+ e- --> 4 jets. We explain some modern techniques which have been used to calculate the one-loop amplitudes efficiently. We further report on the general purpose numerical program…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Weinzierl