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Recent progress concerning regularization of supersymmetric theories is reviewed. Dimensional reduction is reformulated in a mathematically consistent way, and an elegant and general method is presented that allows to study the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dominik Stöckinger

In this review article we report on the newest developments in precision calculations in supersymmetric theories. An important issue related to this topic is the construction of a regularization scheme preserving simultaneously gauge…

High Energy Physics - Phenomenology · Physics 2013-10-24 Luminita Mihaila

We discuss issues that arise in the regularisation of supersymmetric theories. (To appear in the book `Perspectives on Supersymmetry', World Scientific, Editor G. Kane.)

High Energy Physics - Phenomenology · Physics 2008-02-03 I. Jack , D. R. T. Jones

Recent developments in supersymmetric unified theories are reviewed, with particular emphasis on supersymmetric grand unification and a brief discussion of recent ideas about extra dimensions.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. N. Mohapatra

Recent developments in higher order calculations within the framework of Dimensional Reduction, the preferred regularization scheme for supersymmetric theories, are reported on. Special emphasis is put on the treatment of evanescent…

High Energy Physics - Phenomenology · Physics 2007-06-21 Robert Harlander , Philipp Kant , Luminita Mihaila , Matthias Steinhauser

It is shown that regularisation by dimensional reduction is a viable alternative to dimensional regularisation in non-supersymmetric theories.

High Energy Physics - Phenomenology · Physics 2009-10-22 I. Jack , D. R. T. Jones , K. L. Roberts

It is proven by explicit construction that regularization by dimensional reduction can be formulated in a mathematically consistent way. In this formulation the quantum action principle is shown to hold. This provides an intuitive and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dominik Stöckinger

Recent refinements of the phenomenology of Higgs bosons in the Standard Model and the Minimal Supersymmetric Standard Model are reviewed.

High Energy Physics - Phenomenology · Physics 2008-02-03 Howard E. Haber

While it is usually stated that dimensional regularization (DR) has no direct physical interpretation, consensus has recently grown on the idea that it might be endowed with special physical properties that would provide the mechanism that…

High Energy Physics - Theory · Physics 2022-09-21 Carlo Branchina , Vincenzo Branchina , Filippo Contino , Neda Darvishi

We discuss a systematic way to dimensionally regularize divergent sums arising in field theories with an arbitrary number of physical compact dimensions or finite temperature. The method preserves the same symmetries of the action as the…

High Energy Physics - Theory · Physics 2009-11-07 Roberto Contino , Andrea Gambassi

Some recent results in supersymmetric grand unified theories are reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Barger , M. S. Berger , P. Ohmann

The Higgs boson mass problem is considered in the next to minimal supersymmetric standard model. The Higgs potential and the renormalization group equations for the gauge, Yukawa and scalar coupling constants are analyzed. The restrictions…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. M. Asatrian , G. K. Yeghiyan

We investigate the issue of regularization/renormalization in the presence of a nontrivial background in the case of 1+1-(supersymmetric) solitons. In particular we study and compare the commonly employed regularization methods (mode-…

High Energy Physics - Theory · Physics 2007-05-23 Robert Wimmer

The evaluation of three-loop contributions to the MSSM Higgs-boson mass is considered at the orders enhanced by the strong gauge coupling and top or bottom Yukawa couplings, i.e. at the orders…

High Energy Physics - Phenomenology · Physics 2018-09-26 Dominik Stöckinger , Josua Unger

We review some results obtained in the context of the Collaborative Research Center/Transregio~9. In particular we discuss three-loop corrections to the Higgs boson mass in the Minimal Supersymmetric Standard Model, higher order corrections…

High Energy Physics - Phenomenology · Physics 2015-01-29 Luminita N. Mihaila , Matthias Steinhauser

We illustrate the dimensional regularization technique using a simple problem from elementary electrostatics. We contrast this approach with the cutoff regularization approach, and demonstrate that dimensional regularization preserves the…

High Energy Physics - Phenomenology · Physics 2017-08-22 Fredrick Olness , Randall Scalise

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last years are discussed and the consistency of the method is proven. New approach to regularization of…

High Energy Physics - Theory · Physics 2015-06-26 T. D. Bakeyev , A. A. Slavnov

For some years there has been uncertainty over whether regularisation by dimensional reduction (DRED) is viable for non-supersymmetric theories. We resolve this issue by showing that DRED is entirely equivalent to standard dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Jack , D. R. T. Jones , K. L. Roberts

There are reasons to believe that the Standard Model is only an effective theory, with new Physics lying beyond it. Supersymmetric extensions are one possibility: they address some of the Standard Model's shortcomings, such as the…

High Energy Physics - Phenomenology · Physics 2013-10-07 Renato M. Fonseca

The absence of the quadratic divergence in the Higgs sector of the Standard Model in the dimensional regularization is usually regarded to be an exceptional property of a specific regularization. To understand what is going on in the…

High Energy Physics - Theory · Physics 2016-10-03 Kazuo Fujikawa
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