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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

In this Letter we consider renormalization of a class of scalar operators with fixed hypercharge $Q$ within the Standard Model. We carry out explicit computation of the corresponding anomalous dimensions up to the three-loop order. In spite…

High Energy Physics - Phenomenology · Physics 2024-04-04 A. V. Bednyakov

We discuss the full electroweak one-loop corrections to the decay of the pseudoscalar Higgs boson A^0 into two sfermions within the Minimal Supersymmetric Standard Model. In particular, we consider the sfermions of the third generation,…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Weber , H. Eberl , W. Majerotto

The computation of the correction \Delta r in the W-Z mass correlation, derived from muon decay, is described at the two-loop level in the Standard Model. Technical aspects which become relevant at this level are studied, e.g.…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Freitas , S. Heinemeyer , W. Hollik , W. Walter , G. Weiglein

We present one-loop formulas for contributing to the $HZZ$ vertex in 't Hooft-Veltman gauge within Standard Model framework. One-loop off-shell Higgs decay rates to $Z$-pair are investigated in both unpolarized and longitudinal polarization…

High Energy Physics - Phenomenology · Physics 2023-05-09 Khiem Hong Phan , Dzung Tri Tran , Anh Thu Nguyen

We calculate the dominant ${\rm O}\left(G_F^2M_H^4\right)$ two-loop electroweak corrections to the fermi\-onic decay widths of a heavy Higgs boson in the Standard Model. Use of the Goldstone-boson equivalence theorem reduces the problem to…

High Energy Physics - Phenomenology · Physics 2011-01-27 Loyal Durand , Bernd A. Kniehl , Kurt Riesselmann

The momentum dependent two-loop contributions of the order $\mathcal{O}$($\alpha_s \alpha_t$) to the masses in the Higgs-boson sector of the MSSM are computed. Adopting the Feynman-diagrammatic approach and using a mixed…

High Energy Physics - Phenomenology · Physics 2014-10-03 S. Borowka

Over 40 years after the calculation of the 1-loop QED corrections to the muon lifetime, new theoretical developments have made it possible to obtain an analytic expression for the complete 2-loop QED contributions in the Fermi theory. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robin G. Stuart

We calculate the full electroweak one-loop corrections to the decay of the CP-odd Higgs boson A^0 into scalar quarks in the minimal supersymmetric extension of the Standard Model (MSSM). Due to the complex structure of the electroweak…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. Weber , H. Eberl , W. Majerotto

Recently, the ATLAS and CMS collaborations jointly announced the first evidence of the rare Higgs boson decay channel $H\to Z\gamma$, with a ratio of $2.2\pm 0.7$ times the leading order standard model (SM) prediction. In order to face this…

High Energy Physics - Phenomenology · Physics 2024-09-04 Zi-Qiang Chen , Long-Bin Chen , Cong-Feng Qiao , Ruilin Zhu

This work presents the calculation of the relation between the bare coupling constant g_0 and the MSbar-renormalized coupling g_MS, g_0 = Z_g(g_0,a\mu) g_MS, to 2 loops in perturbation theory, with fermions in an arbitrary representation of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Constantinou , H. Panagopoulos

In this paper we propose a method to compute the running top-Yukawa coupling in supersymmetric models with heavy mass spectrum based on the "running" and "decoupling" procedure. In order to enable this approach we compute the two-loop…

High Energy Physics - Phenomenology · Physics 2015-06-22 D. Kunz , L. Mihaila , N. Zerf

We present results for the three-loop top quark contributions to the rho parameter in the limit of large top quark mass. The simultaneous dependence on the mass of the Higgs boson M_H and the mass of the top quark m_t is obtained from…

High Energy Physics - Phenomenology · Physics 2009-03-16 M. Faisst , J. Kuhn , T. Seidensticker , O. Veretin

Masses of heavy Standard Model fermions (top-quark, bottom-quark, and tau-lepton) play an important role in the analysis of theories beyond the SM. They serve as low-energy input and reduce the parameter space of such theories. In this…

High Energy Physics - Phenomenology · Physics 2010-05-25 A. V. Bednyakov

Results are presented for the momentum dependent two-loop contributions of O(alpha_t alpha_s) to the masses and mixing effects in the Higgs sector of the MSSM. They are obtained in the Feynman-diagrammatic approach using a mixed…

High Energy Physics - Phenomenology · Physics 2014-09-25 S. Borowka , T. Hahn , S. Heinemeyer , G. Heinrich , W. Hollik

The scaling behavior of pure gauge SU(3) in the region $\beta=5.85 - 7.60$ is examined by a Monte Carlo Renormalization Group analysis. The coupling shifts induced by factor 2 blocking are measured both on 32$^4$ and 16$^4$ lattices with…

We consider the effective potential $V$ in the standard model with a single Higgs doublet in the limit that the only mass scale $\mu$ present is radiatively generated. Using a technique that has been shown to determine $V$ completely in…

High Energy Physics - Phenomenology · Physics 2011-05-19 F. A. Chishtie , T. Hanif , J. Jia , R. B. Mann , D. G. C. McKeon , T. N. Sherry , T. G. Steele

We compute the three-loop QCD corrections to the decoupling constant for $\alpha_s$ which relates the Minimal Supersymmetric Standard Model to Quantum Chromodynamics with five or six active flavours. The new results can be used to study the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Alexander Kurz , Matthias Steinhauser , Nikolai Zerf

The complete calculation of the 2-loop electroweak corrections to the renormalization of the electric charge in the Standard Model allows to discuss in detail the value of the MSbar effective coupling $\hat e(m_Z)$. We discuss the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alessandro Vicini

We present detailed results of a diagrammatic calculation of the leading two-loop QCD corrections to the masses of the neutral CP-even Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM). The two-loop corrections are…

High Energy Physics - Phenomenology · Physics 2011-05-05 S. Heinemeyer , W. Hollik , G. Weiglein