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Using known all-loop results from the BFKL and generalized double-logarithmic equations and large spin limit we have recomputed the five-loop planar anomalous dimension of twist-2 operators without consideration of any wrapping effects. One…

High Energy Physics - Theory · Physics 2015-06-18 V. N. Velizhanin

Top quark physics are an appropriate laboratory to study phenomena of the Standard Model and to test the limits of this theory. To obtain a higher precision for top quark predictions, the next-to-next-to-leading order (NNLO) in the…

High Energy Physics - Phenomenology · Physics 2013-10-23 Anne-Sophia Schade

We present a general method of associating next-to-leading order weights to leading order phase space configurations at hadron colliders. The method relies on a re-organization of phase space for the real radiation contributions, defining a…

High Energy Physics - Phenomenology · Physics 2013-11-25 John M. Campbell , Walter T. Giele , Ciaran Williams

We derive the vector-like four dimensional overlap Dirac operator starting from a five dimensional Dirac action in the presence of a delta-function space-time defect. The effective operator is obtained by first integrating out all the…

High Energy Physics - Lattice · Physics 2008-11-26 C. D. Fosco , G. Torroba , H. Neuberger

The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\alpha^3$ corrects a previous result in the literature.…

High Energy Physics - Phenomenology · Physics 2024-09-04 Kaushik Borah , Richard J. Hill , Ryan Plestid

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is…

High Energy Physics - Phenomenology · Physics 2018-06-27 Luca Vecchi

The analytization procedure which allows one to remove nonphysical singularities of the QCD running coupling constant $\bar\alpha_s(q^2)$ in the infrared region is applied to standard as well as to iterative solutions of the two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

We offer a guide to dimensional reduction (DRED) in theories with anomaly mediated supersymmetry breaking. Evanescent operators proportional to epsilon arise in the bare Lagrangian when it is reduced from d=4 to d= (4-2 epsilon) dimensions.…

High Energy Physics - Phenomenology · Physics 2009-09-29 Ed Boyda , Hitoshi Murayama , Aaron Pierce

We extend the theoretical prediction for the width difference $\Delta \Gamma_q$ in the mixing of neutral $B$ mesons in the Standard Model to next-to-next-to-leading order in $\alpha_s$. To this aim we calculate three-loop diagrams with two…

High Energy Physics - Phenomenology · Physics 2022-09-14 Marvin Gerlach , Ulrich Nierste , Vladyslav Shtabovenko , Matthias Steinhauser

A new O(N) algorithm based on a recursion method, in which the computational effort is proportional to the number of atoms N, is presented for calculating the inverse of an overlap matrix which is needed in electronic structure calculations…

Condensed Matter · Physics 2016-08-31 T. Ozaki

In this work we revisit the algorithm of Denner and Pozzorini for the calculation of one-loop electroweak Sudakov logarithms and we automate it in the MadGraph5_aMC@NLO framework. We adapt the formulas for modern calculations, keeping…

High Energy Physics - Phenomenology · Physics 2022-04-21 Davide Pagani , Marco Zaro

We outline the recent results on the two-loop electroweak contributions to the electron-electron scattering cross sections and asymmetries. Although the two-loop corrections are strongly suppressed relative to the one-loop corrections, they…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. Aleksejevs , S. Barkanova , V. Zykunov

Alternating direction multiplication is a powerful technique for solving convex optimisation problems. When challenging subproblems are encountered in the real world, it is useful to solve them by introducing neighbourhood terms. When the…

Optimization and Control · Mathematics 2024-04-29 Boran Wang

The Monte Carlo method is a thriving and mathematically beautiful numerical technique used extensively, nowadays, to deal with many demanding problems in diverse fields. Here, we present an iterative Monte Carlo algorithm to work out very…

Computational Physics · Physics 2024-08-02 Martín Chávez-Páez , Enrique González-Tovar , Guillermo Iván Guerrero-García

We develop an alternative derivation of the renormalized expression for the one-loop soliton quantum mass corrections in (1+1)-dimensional scalar field theories. We regularize implicitly such quantity by subtracting and adding its…

High Energy Physics - Theory · Physics 2020-02-28 A. R. Aguirre , G. Flores-Hidalgo

A previous calculation of electroweak O(alpha) corrections to deep-inelastic neutrino scattering, as e.g. measured by NuTeV and NOMAD, is supplemented by higher-order effects. In detail, we take into account universal two-loop effects from…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. -P. O. Diener , S. Dittmaier , W. Hollik

Using on-shell methods, we present a new perturbative non-renormalization theorem for operator mixing in massless four-dimensional quantum field theories. By examining how unitarity cuts of form factors encode anomalous dimensions we show…

High Energy Physics - Phenomenology · Physics 2020-05-05 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We present a method to combine next-to-leading order (NLO) matrix elements in QCD with leading logarithmic parton showers by applying a suitably modified version of the phase-space-slicing method. The method consists of subsuming the NLO…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Pötter

We describe a constructive procedure to separate overlapping infrared divergences in multi-loop integrals. Working with a parametric representation in D=4-2*epsilon dimensions, adequate subtractions lead to a Laurent series in epsilon,…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Binoth , G. Heinrich

The calculation of exclusive observables beyond the one-loop level requires elaborate techniques for the computation of multi-leg two-loop integrals. We discuss how the large number of different integrals appearing in actual two-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Gehrmann , E. Remiddi