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We present an alternative calculation for the leading Higgs mass dependent one--loop corrections to the standard model Lagrangian, using a background field technique. Cross--sections computed from our one--loop Lagrangian provide a check of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vidyut Jain

We calculate the next-to-next-to-leading correction to the expectation value of the Polyakov loop or equivalently to the free energy of a static charge. This correction is of order $g^5$. We show that up to this order the free energy of the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Matthias Berwein , Nora Brambilla , Peter Petreczky , Antonio Vairo

Two approaches to renormalization-group improvement are examined: the substitution of the solutions of running couplings, masses and fields into perturbatively computed quantities is compared with the systematic sum of all the leading log…

High Energy Physics - Theory · Physics 2008-11-26 F. A. Chishtie , V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

Second order ${\cal O}(\alpha_s^2)$ corrections to the heavy quark production cross-section due to massless quarks and coloured scalars are calculated for all energies above threshold. Based on the method introduced in this letter also the…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. G. Chetyrkin , A. H. Hoang , J. H. Kuehn , M. Steinhauser , T. Teubner

We implement a one-loop analysis of the $\rho$ parameter in the Left Right Twin Higgs model, including the logarithmically enhanced contributions from both fermion and scalar loops. Numerical results show that the one-loop contributions are…

High Energy Physics - Phenomenology · Physics 2007-10-16 Dong-Won Jung , Jae Yong Lee

We compute the two-loop O(as*at) corrections to the Higgs boson masses in supersymmetric extensions of the Standard Model with Dirac gaugino masses. We rely on the effective-potential technique, allow for both Dirac and Majorana mass terms…

High Energy Physics - Phenomenology · Physics 2016-09-15 Johannes Braathen , Mark D. Goodsell , Pietro Slavich

Applying the light-cone sum rules (LCSR) approach, the next-to-leading-order (NLO) corrections to $B \to A$ form factors are calculated with the twist-two and twist-three $B$ meson light-cone distribution amplitudes (LCDAs) at leading power…

High Energy Physics - Phenomenology · Physics 2025-12-04 Fang-Zhou Di , Yu-Hao Liu

We present the implementation of next-to-next-to-leading order (NNLO) electroweak (EW) virtual corrections at next-to-leading logarithmic (NLL) accuracy in the amplitude generator OpenLoops. The implementation covers the automated…

High Energy Physics - Phenomenology · Physics 2026-04-17 J. M. Lindert , L. Mai

We present an a posteriori estimator of the error in the L^2-norm for the numerical approximation of the Maxwell's eigenvalue problem by means of N\'ed\'elec finite elements. Our analysis is based on a Helmholtz decomposition of the error…

Numerical Analysis · Mathematics 2016-02-02 Daniele Boffi , Lucia Gastaldi , Rodolfo Rodríguez , Ivana Šebestová

We present the calculation of the decay $H \rightarrow b\overline{b}j$ at next-to-next-to-leading order (NNLO) accuracy. We consider contributions in which the Higgs boson couples directly to bottom quarks, i.e. our predictions are accurate…

High Energy Physics - Phenomenology · Physics 2022-10-12 Roberto Mondini , Ciaran Williams

We derive the high energy asymptotic of one- and two-loop corrections in the next-to-next-to-leading logarithmic approximation to the differential cross section of $W$-pair production at the LHC. For large invariant mass of the W-pair the…

High Energy Physics - Phenomenology · Physics 2015-03-17 J. H. Kuhn , F. Metzler , A. A. Penin , S. Uccirati

The calculation of the $O(N_f\alpha^2)$ corrections to muon decay is described. These are the 2-loop diagrams containing a massless fermion loop and they form an important gauge-invariant subclass. It is shown that all such diagrams can be…

High Energy Physics - Phenomenology · Physics 2011-03-17 Robin G. Stuart

We reconsider the Standard Model interactions of ultra-high energy neutrinos with matter. The next to leading order QCD corrections are presented for charged-current and neutral-current processes. Contrary to popular expectations, these…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rahul Basu , Debajyoti Choudhury , Swapan Majhi

In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in $1/m_t^2$. Good convergence is observed below the top quark…

High Energy Physics - Phenomenology · Physics 2022-01-26 Joshua Davies , Florian Herren , Go Mishima , Matthias Steinhauser

We discuss a recent analysis of a dominant two-loop electroweak correction, of O(G_F M_t^2), to the partial width of the decay of an intermediate-mass Higgs boson into a pair of photons. The asymptotic-expansion technique was used in order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bernd A. Kniehl

Models with two scalar doublets are among the simplest extensions of the Standard Model which fulfill the relation $\rho = 1$ at lowest order for the $\rho$ parameter as favored by experimental data for electroweak observables allowing only…

High Energy Physics - Phenomenology · Physics 2017-03-22 Stephan Hessenberger , Wolfgang Hollik

We compute the next-to-leading order virtual corrections to the partonic cross-section of the process $gg\to ZH$, in the high-energy and large-$m_t$ limits. We use Pad\'e approximants to increase the radius of convergence of the high-energy…

High Energy Physics - Phenomenology · Physics 2021-03-17 Joshua Davies , Go Mishima , Matthias Steinhauser

We have constructed two $SU(3)_L \times U(1)_N$ gauge models with the $L^\prime = L_e-L_\mu-L_\tau$ symmetry, which accommodate tiny neutrino masses generated by one-loop and two-loop radiative effects. The heavy neutral leptons and heavy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Teruyuki Kitabayashi

Apparently convergent contributions of resummed perturbative series at the next-to-leading order of the 1/N expansion in the O(N) model are reanalyzed in terms of renormalizability. Compared to our earlier article [G. Fejos et al., Phys.…

High Energy Physics - Phenomenology · Physics 2015-06-19 G. Fejos , A. Patkos , Zs. Szep

The known a posteriori error analysis of hybrid high-order methods (HHO) treats the stabilization contribution as part of the error and as part of the error estimator for an efficient and reliable error control. This paper circumvents the…

Numerical Analysis · Mathematics 2024-07-03 Fleurianne Bertrand , Carsten Carstensen , Benedikt Gräßle , Ngoc Tien Tran