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The method for functional reduction of Feynman integrals, proposed by the author, is used to calculate one-loop integrals corresponding to diagrams with four external lines. The integrals that emerge from amplitudes for the scattering of…

高能物理 - 唯象学 · 物理学 2023-07-12 O. V. Tarasov

Within the non-perturbative 1/N expansion, we discuss numerical methods for calculating multi-loop Feynman graph needed to derive physical scattering amplitudes. We apply higher order 1/N methods to the scalar sector of the standard model,…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Ghinculov , T. Binoth

We present results for the six-gluon scattering amplitude at one-loop. Since our method is semi-numerical, it yields the result for arbitrary momenta and helicities of the external gluons. We evaluate the colour-ordered sub-amplitudes with…

高能物理 - 唯象学 · 物理学 2009-11-11 R. K. Ellis , W. T. Giele , Giulia Zanderighi

In this work, we put forward a straightforward and simple approach to construct the low-energy effective field theory (EFT) from a given ultraviolet (UV) full theory by integrating heavy particles out. By calculating the on-shell…

高能物理 - 唯象学 · 物理学 2023-09-21 Xu Li , Shun Zhou

Higher-order radiative corrections play an important role in precision studies of the electroweak and Higgs sector, as well as for the detailed understanding of large backgrounds to new physics searches. For corrections beyond the one-loop…

高能物理 - 唯象学 · 物理学 2016-08-16 Ayres Freitas

One limitation of the variational quantum eigensolver algorithm is the large number of measurement steps required to estimate different terms in the Hamiltonian of interest. Unitary partitioning reduces this overhead by transforming the…

量子物理 · 物理学 2021-09-01 Alexis Ralli , Peter Love , Andrew Tranter , Peter Coveney

The one-loop self-energy correction to the hyperfine splitting of the 1s and 2s levels in H-like low-Z atoms is evaluated to all orders in Z\alpha. The results are compared to perturbative calculations. The residual higher-order…

高能物理 - 唯象学 · 物理学 2009-11-07 V. A. Yerokhin , V. M. Shabaev

We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce directly from Feynman diagrams to the coefficients of a set…

高能物理 - 唯象学 · 物理学 2019-07-01 Heribertus Bayu Hartanto , Simon Badger , Christian Brønnum-Hansen , Tiziano Peraro

A quantum measurement model based upon restricted path-integrals allows us to study measurements of generalized position in various one-dimensional systems of phenomenological interest. After a general overview of the method we discuss the…

量子物理 · 物理学 2008-02-03 Tommaso Calarco , Roberto Onofrio , Carlo Presilla , Lorenza Viola

Several relevant aspects of quantum-field processes can be well described by semiclassical methods. In particular, the knowledge of non-trivial classical solutions of the field equations, and the thermal and quantum fluctuations around…

高能物理 - 唯象学 · 物理学 2009-11-13 A. Bessa , C. A. A. de Carvalho , E. S. Fraga

This study is targeted to the NLO corrections of multileg processes, very important for the LHC. Starting from the construction of Feynman diagrams, the analytical reduction of general one-loop integrals to scalar master ones, the…

高能物理 - 唯象学 · 物理学 2011-04-20 Theodoros Diakonidis , Bas Tausk

In this review, we discuss recent developments concerning efficient calculations of multi-loop multi-leg scattering amplitudes. Inspired by the remarkable properties of the Loop-Tree Duality (LTD), we explain how to reconstruct an integrand…

高能物理 - 唯象学 · 物理学 2021-09-30 German F. R. Sborlini

A simple algorithm is presented to decompose any 1-loop amplitude for scattering processes of the class 2 fermions -> 4 fermions into a fixed number of gauge-invariant form factors. The structure of the amplitude is simpler than in the…

高能物理 - 唯象学 · 物理学 2009-11-07 Alessandro Vicini

We describe a method for deriving logarithmic corrections in the mass ratio to the S-level of a hydrogen-like atom. With this method, a number of new corrections of this type are calculated analitically for the first time.

高能物理 - 唯象学 · 物理学 2007-05-23 N. A. Boikova , Y. N. Tyukhtyaev , R. N. Faustov

We report on a new method for the numerical evaluation of loop integrals, based on the Feynman Tree Theorem. The loop integrals are replaced by phase-space integration over fictitious extra on-shell particles. This integration can be…

高能物理 - 唯象学 · 物理学 2010-02-08 Wolfgang Kilian , Tobias Kleinschmidt

Charged-particle multiplicity distributions are an interesting tool to study both soft- and hard-QCD processes in hadronic collisions. Since last century a significant range of center-of-mass energies has been probed, ranging from a few GeV…

高能物理 - 唯象学 · 物理学 2017-12-01 Anton Alkin

We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field…

高能物理 - 唯象学 · 物理学 2018-06-27 Samuel Abreu , Fernando Febres Cordero , Harald Ita , Ben Page , Mao Zeng

The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level amplitudes, which gives rise to the idea of treating them simultaneously in a common Monte Carlo. Initially…

高能物理 - 唯象学 · 物理学 2015-10-15 Sebastian Buchta

We calculate higher-order quantum contributions in different Lorentz-violating parameters to the gauge sector of the extended QED. As a result of this one-loop calculation, some terms which do not produce first-order corrections, contribute…

高能物理 - 唯象学 · 物理学 2018-08-21 A. P. Baeta Scarpelli , L. C. T. Brito , J. C. C. Felipe , J. R. Nascimento , A. Yu. Petrov

We present an alternative approach for calculating helicity amplitudes for processes involving both massless and massive fermions. With this method one can easily obtain covariant expressions for the helicity amplitudes. The final…

高能物理 - 唯象学 · 物理学 2014-11-17 R. Vega , J. Wudka
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