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A new symmetry-preserving loop regularization method proposed in \cite{ylw} is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of…

High Energy Physics - Theory · Physics 2009-11-10 Yue-Liang Wu

In this paper, we propose a new method for evaluating scalar one-loop Feynman integrals in generalized D-dimension. The calculations play an important building block for two-loop and higher-loop corrections to the processes at future…

High Energy Physics - Phenomenology · Physics 2017-07-10 Khiem Hong Phan

We present an improved version of our program package oneloop which -- written as a package for MAPLE -- solves one-loop Feynman integrals. The package is calculating one-, two- and three-point functions both algebraically and numerically…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Brücher , J. Franzkowski , D. Kreimer

Gauge fields are special in the sense that they are invariant under gauge transformations and \emph{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Alfredo T. Suzuki , J. H. O. Sales

Diagrammatic techniques are invented to implement QCD gauge transformations. These techniques can be used to discover how gauge-dependent terms are cancelled among diagrams to yield gauge-invariant results in the sum. In this way a…

High Energy Physics - Phenomenology · Physics 2016-09-01 Y. J. Feng , C. S. Lam

The complete UV-divergent contribution to the one-loop 1PI four-point function of Yang-Mills theory in the light-cone gauge is computed in this paper. The formidable UV-divergent contributions arising from each four-point Feynman diagram…

High Energy Physics - Theory · Physics 2009-10-31 G. Leibbrandt , A. Richardson , C. P. Martin

A review of light-cone, covariant and gauge-invariant wave-functions of mesons is presented. They are basic non-perturbative objects needed for hard exclusive processes and for the method of light-cone QCD sum rules. The emphasis is on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Stoll

Gauge fields in the light-front are usually fixed via the nA=0 condition yielding the non-local singularities of the type (kn)^(-a)=0 and a=1,2,.. in the gauge boson propagator which must be addressed conveniently. In calculating this…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Suzuki , J. H. O. Sales

We give a new method for the reduction of tensor integrals to finite integral representations and UV divergent analytic expressions. This includes a new method for the handling of the gamma-algebra. TYPO IN EQUATION (5) CORRECTED, MACROS…

High Energy Physics - Phenomenology · Physics 2009-10-22 Dirk Kreimer

We have been developing a program package called GRACE/SUSY-loop which is for the automatic calculations of the MSSM amplitudes in one-loop order. The non-linear gauge (NLG) fixing conditions play the crucial role in the calculations in…

High Energy Physics - Phenomenology · Physics 2015-03-17 Masato Jimbo , Tadashi Ishikawa , Masaaki Kuroda

We show that some Lorentz components of the Feynman integrals calculated in terms of the light-cone variables may contain end-point singularities which originate from the contribution of the big-circle integral in the complex k_ plane.…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Melikhov , S. Simula

We develop an iterative method for constructing four-dimensional generalized unitarity cuts in $\mathcal{N} = 2$ supersymmetric Yang-Mills (SYM) theory coupled to fundamental matter hypermultiplets ($\mathcal{N} = 2$ SQCD). For iterated…

High Energy Physics - Theory · Physics 2019-10-08 Gregor Kälin , Gustav Mogull , Alexander Ochirov

The two-loop anomalous dimension of the chiral matter superfields is calculated for a general ${\cal N}=1$ supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of…

High Energy Physics - Theory · Physics 2020-07-15 Alexander Kazantsev , Konstantin Stepanyantz

We describe a method to remove non-decoupling heavy fields from a quantized field theory and to construct a low-energy one-loop effective Lagrangian by integrating out the heavy degrees of freedom in the path integral. We apply this method…

High Energy Physics - Phenomenology · Physics 2016-09-01 Stefan Dittmaier , Carsten Grosse-Knetter

We present the program SecDec 2.0 which contains various new features: First, it allows the numerical evaluation of multi-loop integrals with no restriction on the kinematics. Dimensionally regulated ultraviolet and infrared singularities…

High Energy Physics - Phenomenology · Physics 2015-03-20 Sophia Borowka , Jonathon Carter , Gudrun Heinrich

It has recently been determined that, within the framework of the Exact Renormalisation Group, continuum computations can be performed to any loop order in SU(N) Yang-Mills theory without fixing the gauge or specifying the details of the…

High Energy Physics - Theory · Physics 2009-11-11 Oliver J. Rosten

The formalism for a non-abelian pure gauge theory in (2+1) dimensions has recently been derived within Discretized Light-Cone Quantization, restricting to the lowest {\it transverse} momentum gluons. It is argued why this model can be a…

High Energy Physics - Theory · Physics 2009-10-28 Hans-Christian Pauli , Rolf Bayer

We present a comprehensive analysis of the prescription we recently put forward for the computation of real-time correlation functions using gauge/gravity duality. The prescription is valid for any holographic supergravity background and it…

High Energy Physics - Theory · Physics 2015-05-13 Kostas Skenderis , Balt C. van Rees

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…

High Energy Physics - Phenomenology · Physics 2018-08-21 A. P. Baeta Scarpelli , L. C. T. Brito , J. C. C. Felipe , J. R. Nascimento , A. Yu. Petrov

QCD in non-integer d=4-2 epsilon space-time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restrictions on the form of the renormalization group equations…

High Energy Physics - Phenomenology · Physics 2015-06-19 V. M. Braun , A. N. Manashov