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We present a proof algorithm associated with the dipole splitting algorithm (DSA). The proof algorithm (PRA) is a straightforward algorithm to prove that the summation of all the subtraction terms created by the DSA vanishes. The execution…

High Energy Physics - Phenomenology · Physics 2015-11-30 K. Hasegawa

Abstract machines for the strong evaluation of lambda-terms (that is, under abstractions) are a mostly neglected topic, despite their use in the implementation of proof assistants and higher-order logic programming languages. This paper…

Programming Languages · Computer Science 2016-03-18 Beniamino Accattoli , Pablo Barenbaum , Damiano Mazza

Within the superfield approach, we discuss the three-dimensional supersymmetric (SUSY) pseudo-QED. We prove that it is all-loop renormalizable. We demonstrate that the SUSY pseudo-QED action can be generated as a quantum correction from the…

High Energy Physics - Theory · Physics 2023-03-23 Van Sérgio Alves , M. Gomes , A. Yu. Petrov , A. J. da Silva

A pressing problem for supersymmetry (SUSY) phenomenologists is how to incorporate Large Hadron Collider search results into parameter fits designed to measure or constrain the SUSY parameters. Owing to the computational expense of fully…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Buckley , A. Shilton , M. J. White

In order to make quantitative predictions for jet cross sections in perturbative QCD, it is essential to calculate them to next-to-leading accuracy. This has traditionally been an extremely laborious process. Using a new formalism,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Stefano Catani , Michael H. Seymour

Supersymmetry predicts that gauge couplings are equal to the corresponding gaugino-sfermion-fermion Yukawa couplings. This prediction can be tested for the QCD sector of the MSSM by studying the processes eplus+eminus ->…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Brandenburg , M. Maniatis , M. M. Weber

One of the most important mechanisms at the Large Hadron Collider (LHC) for the production of the pseudoscalar Higgs boson of the Minimal Supersymmetric Standard Model (MSSM) is the loop-induced gluon fusion process $gg\to A$. The…

High Energy Physics - Phenomenology · Physics 2023-04-05 Emanuele Bagnaschi , Lukas Fritz , Stefan Liebler , Margarete Mühlleitner , Thanh Tien Dat Nguyen , Michael Spira

We study SU(5) chiral gauge theories on $R^3\times S^1$. With an unequal number of fundamental and antifundmental matter representations we calculate nontrivial pre-ADS superpotentials generated by composite multi-monopoles. We also point…

High Energy Physics - Theory · Physics 2023-04-26 Jun Seok Lee , John Terning

Pseudoinverses are ubiquitous tools for handling over- and under-determined systems of equations. For computational efficiency, sparse pseudoinverses are desirable. Recently, sparse left and right pseudoinverses were introduced, using…

Numerical Analysis · Mathematics 2016-06-23 Victor K. Fuentes , Marcia Fampa , Jon Lee

An analytical method is advanced for constructing interpolation formulae for complicated problems of statistical mechanics, in which just a few terms of asymptotic expansions are available. The method is based on the self-similar…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , S. Gluzman

Nonlinear SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. Possible multidimensional extensions of Nonlinear SUSY are described. The full classification of ladder-reducible and irreducible…

High Energy Physics - Theory · Physics 2015-06-05 A. A. Andrianov , M. V. Ioffe

Many problems in control theory can be formulated as semidefinite programs (SDPs). For large-scale SDPs, it is important to exploit the inherent sparsity to improve the scalability. This paper develops efficient first-order methods to solve…

Optimization and Control · Mathematics 2020-01-13 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

We have calculated the leading Yukawa corrections to the chargino, neutralino and gluino pole masses in the DR-bar scheme in the Minimal Supersymmetric Standard Model (MSSM) with the full set of complex parameters. We have performed a…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Schofbeck , H. Eberl

We analyze and implement the Local Analytic Sector Subtraction (LASS) scheme for handling infrared singularities in next-to-next-to-leading order (NNLO) calculations in perturbative QCD. We examine the key aspects of the scheme including…

High Energy Physics - Phenomenology · Physics 2024-07-03 Bakar Chargeishvili , Giuseppe Bevilacqua , Adam Kardos , Sven-Olaf Moch , Zoltán Trócsányi

We show how spectral submanifold (SSM) theory can be used to extract forced-response curves, including isolas, without any numerical simulation in high-degree-of-freedom, periodically forced mechanical systems. We use multivariate…

Dynamical Systems · Mathematics 2019-12-25 Sten Ponsioen , George Haller

We compute the full O(alpha_s) supersymmetric (SUSY) QCD corrections for neutralino annihilation into massive quarks through gauge or Higgs bosons and squarks in the Minimal Supersymmetric Standard Model (MSSM), including the known…

High Energy Physics - Phenomenology · Physics 2009-03-24 Björn Herrmann , Michael Klasen , Karol Kovarik

The interpretation of experimental measurements at the LHC requires accurate theoretical predictions for exclusive observables, and in particular the summation of soft and collinear radiation to all orders in perturbation theory. We report…

High Energy Physics - Phenomenology · Physics 2015-02-13 Michael Czakon , Michael Krämer , Malgorzata Worek

We propose a new subtraction scheme for next-to-leading order QCD calculations. Our scheme is based on the momentum mapping and on the splitting functions derived in the context of an improved parton shower formulation. Compared to standard…

High Energy Physics - Phenomenology · Physics 2015-05-20 Cheng-Han Chung , Michael Krämer , Tania Robens

A program package, which facilitates computations in the framework of Analytic approach to QCD, is developed and described in details. The package includes the explicit expressions for relevant spectral functions calculated up to the…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. V. Nesterenko , C. Simolo

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour