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We briefly report our calculation of the 2-loop coefficient of the coupling constant renormalization function Z_g in lattice perturbation theory. The quantity under study is defined through g_0 = Z_g g, where g_0 (g) is the bare…

High Energy Physics - Lattice · Physics 2009-04-14 Martha Constantinou , Haralambos Panagopoulos

We present the calculation of the so far missing ${\cal O}(\alpha^2\alpha_\mathrm{s})$ corrections to the quantity $\Delta r$, which relates the Fermi constant to the W-boson mass, and enables precision predictions of the latter. While the…

High Energy Physics - Phenomenology · Physics 2026-03-09 Ievgen Dubovyk , Ayres Freitas , Janusz Gluza , Johann Usovitsch

We present an analytical calculation of the leading three-loop radiative correction to the S-parameter in the Standard Model in the large Higgs mass limit. Numerically, S^(3) = 1.1105*g^4/(1024 pi^3)*m_H^4/M_W^4. When combined with the…

High Energy Physics - Phenomenology · Physics 2010-04-05 R. Boughezal , J. B. Tausk , J. J. van der Bij

Using an effective potential approach, we compute two-loop radiative corrections to the MSSM lightest ${\cal CP}$-even Higgs boson mass $M_{h^0}$ to ${\cal O}(\alpha_t^2)$ for arbitrary left-right top-squark mixing and $\tan\beta$. We find…

High Energy Physics - Phenomenology · Physics 2011-01-13 Jose Ramon Espinosa , Ren-Jie Zhang

We have completed the calculation of pure-recoil corrections of order $(Z \alpha)^6$ to Coulombic bound states of two spin-1/2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such…

High Energy Physics - Phenomenology · Physics 2023-01-25 Gregory S. Adkins , Jonathan Gomprecht , Yanxi Li , Evan Shinn

In order to reach a precision of $0.2\%$ on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, $(g-2)_\mu$, such that the full Standard-Model prediction matches in precision the direct…

High Energy Physics - Lattice · Physics 2025-04-14 Julian Parrino , Volodymyr Biloshytskyi , En-Hung Chao , Harvey B. Meyer , Vladimir Pascalutsa

The leading-order two-loop vacuum-polarization potential, linear in the Coulomb field of a nucleus, was first derived in the seminal 1955 work of K\"all\'en-Sabry. The higher-order two-loop vacuum-polarization corrections, however, have…

Atomic Physics · Physics 2025-11-18 S. A. Volkov , V. A. Yerokhin , Z. Harman , C. H. Keitel

In order to investigate the systematics of the loop expansion in high temperature gauge theories beyond the leading order hard thermal loop (HTL) approximation, we calculate the two-loop electron proper self-energy in high temperature QED.…

High Energy Physics - Phenomenology · Physics 2010-04-06 Emil Mottola , Zsolt Szep

We present a new calculation of the order alpha^2 (Z alpha)^5 correction to the Lamb shift, which uses methods developed for multi-loop calculations.

High Energy Physics - Phenomenology · Physics 2012-07-25 Matthew Dowling , Jorge Mondejar , Jan H. Piclum , Andrzej Czarnecki

We present the two-loop virtual corrections to Standard Model Higgs boson pair production via gluon fusion $gg\to HH$ in the heavy top quark limit. Based on this result, we evaluate the corresponding cross section at the LHC at 14 TeV in…

High Energy Physics - Phenomenology · Physics 2013-07-12 Daniel de Florian , Javier Mazzitelli

We consider electroweak (EW) virtual corrections to $2\to 2$ fermion scattering processes mediated by a vector boson $V$ ($V=W^\pm,Z$) in the pole approximation. As is well known, the computation can be organised into factorisable and…

High Energy Physics - Phenomenology · Physics 2026-05-12 Fazila Ahmadova , Luca Buonocore , Massimiliano Grazzini , Chiara Savoini

We investigate the possible size of two-loop radiative corrections to the Higgs trilinear coupling $\lambda_{hhh}$ in two types of models with extended Higgs sectors, namely in a Two-Higgs-Doublet Model (2HDM) and in the Inert Doublet Model…

High Energy Physics - Phenomenology · Physics 2019-08-08 Johannes Braathen , Shinya Kanemura

We compute three-loop corrections to the process $gg\to HH$ originating from one-particle reducible diagrams. This requires the computation of two-loop corrections to the gluon-gluon-Higgs vertex with an off-shell gluon. We describe in…

High Energy Physics - Phenomenology · Physics 2024-06-03 Joshua Davies , Kay Schönwald , Matthias Steinhauser , Marco Vitti

In the last two years the renormalization group functions for the couplings and fields of the Standard Model have been computed at three-loop level. The evolution of the self-coupling $\lambda$ of the Standard Model Higgs boson is of…

High Energy Physics - Phenomenology · Physics 2014-07-25 Max F. Zoller

We compute the complete two-loop electroweak corrections to the Higgsstralung process $e^+e^-\rightarrow HZ$ at the future Higgs factory. The Feynman integrals involved in the computation are decomposed into linear combinations of a minimal…

High Energy Physics - Phenomenology · Physics 2023-07-12 Xiang Chen , Xin Guan , Chuan-Qi He , Zhao Li , Xiao Liu , Yan-Qing Ma

Results of evaluating the leading order $\alpha_s$ corrections to the correlator of tensor currents in pure gluodynamics are presented. These corrections to the parton result for the correlator are not large numerically that allows one to…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. A. Pivovarov

We compute next-to-leading order virtual two-loop corrections to the process $gg\to ZZ$ in the low- and high-energy limits, considering the contributions with virtual top quarks. Analytic results for all 20 form factors are presented…

High Energy Physics - Phenomenology · Physics 2020-02-14 Joshua Davies , Go Mishima , Matthias Steinhauser , David Wellmann

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

We present the systematic QED treatment of the electron correlation effects on the $g$ factor of lithiumlike ions for the wide range of nuclear charge number $Z= 14$ -- $82$. The one- and two-photon exchange corrections are evaluated…

Atomic Physics · Physics 2023-05-09 D. V. Zinenko , D. A. Glazov , V. P. Kosheleva , A. V. Volotka , S. Fritzsche

We compute the one loop vacuum polarization from massless, minimally coupled scalar QED in a locally de Sitter background. Gauge invariance is maintained through the use of dimensional regularization, whereas conformal invariance is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Prokopec , O. Tornkvist , R. P. Woodard