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In these proceedings, we summarise our recent calculations of next-to-leading order electroweak corrections to Higgs boson pair and Higgs boson plus jet production. The calculations are divided into different regions. In the high-energy…

High Energy Physics - Phenomenology · Physics 2023-10-24 Hantian Zhang

Self-energy corrections involving logarithms of the parameter Zalpha can often be derived within a simplified approach, avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. D. Jentschura , I. Nandori

The vacuum polarization due to chiral fermions on a 4--dimensional Euclidean lattice is calculated according to the overlap prescription. The fermions are coupled to weak and slowly varying background gauge and Higgs fields, and the…

High Energy Physics - Theory · Physics 2009-10-28 S. Randjbar--Daemi , J. Strathdee

Applying effective Lagrangian method and on-shell scheme, we analyze the electroweak corrections to anomalous dipole moments of lepton from some special two loop diagrams in which a closed heavy fermion loop is attached to the virtual gauge…

High Energy Physics - Phenomenology · Physics 2009-03-24 Tai-Fu Feng , Xiu-Yi Yang

We propose to resum exactly any number of one-loop vacuum polarization insertions into the scale of the coupling of lowest order radiative corrections. This makes maximal use of the information contained in one-loop perturbative corrections…

High Energy Physics - Phenomenology · Physics 2010-11-01 P. Ball , M. Beneke , V. M Braun

We compute the two-loop fermion self-energy in massless reduced quantum electrodynamics for an arbitrary gauge using the method of integration by parts. Focusing on the limit where the photon field is four-dimensional, our formula involves…

High Energy Physics - Phenomenology · Physics 2014-03-31 A. V. Kotikov , S. Teber

We calculate the self-energy of two-dimensional fermions that are coupled to transverse gauge fields, taking two-loop corrections into account. Given a bare gauge field propagator that diverges for small momentum transfers q as 1 / q^{eta},…

Strongly Correlated Electrons · Physics 2015-06-25 Peter Kopietz

The corrections of order (Z alpha)^6m_1/m_2 and (Z alpha)^7 from one-loop two-photon exchange diagrams to the energy spectra of the hydrogenic atoms are calculated with the help of the Taylor expansion of corresponding integrands. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. N. Faustov , A. P. Martynenko

We calculate the complete tadpoles and self-energies at the two-loop order for scalars in general renormalisable theories, a crucial component for calculating two-loop electroweak corrections to Higgs-boson masses or for any scalar beyond…

High Energy Physics - Phenomenology · Physics 2020-06-24 Mark D. Goodsell , Sebastian Paßehr

We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-fermion cross section in a spontaneously broken SU(2) gauge…

High Energy Physics - Phenomenology · Physics 2010-11-05 Bernd Jantzen , Johann H. Kühn , Alexander A. Penin , Vladimir A. Smirnov

We calculate the two-loop QCD corrections to $gg \to ZZ$ involving a closed top-quark loop. We present a new method to systematically construct linear combinations of Feynman integrals with a convergent parametric representation, where we…

High Energy Physics - Phenomenology · Physics 2021-06-16 Bakul Agarwal , Stephen P. Jones , Andreas von Manteuffel

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 propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free $O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut of one-loop…

High Energy Physics - Theory · Physics 2020-01-29 Dmitry Ponomarev , Ergin Sezgin , Evgeny Skvortsov

A review of the calculation of the two loop bosonic corrections to $\Delta r$ is presented. Factorization and matching onto the Fermi model are discussed. An approximate formula, describing the quantity over the interesting range of Higgs…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Awramik , M. Czakon

The paper reports a technique of evaluation of Feynman diagrams in the mixed coordinate-momentum representation. The technique is employed for a recalculation of the two-loop self-energy correction for the ground state of hydrogen-like ions…

Atomic Physics · Physics 2010-05-19 Vladimir A. Yerokhin

The precise determination of the Higgs self-couplings is an essential task for understanding electroweak symmetry breaking and probing physics beyond the Standard Model (SM). The calculation of two-loop corrections to scalar couplings is…

High Energy Physics - Phenomenology · Physics 2026-04-16 Johannes Braathen , Felix Egle , Alain Verduras Schaeidt

We consider the $g$ factor of a spin-1/2 particle (electron or muon) bound by an arbitrary central field. We present an approach which allows one to express the relativistic $g$ factor in terms of the binding energy. We derive the general…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. G. Karshenboim , R. N. Lee , A. I. Milstein

We compute the one-loop corrections to \tth up to order $\mathcal{O}(\epsilon^2)$ in the dimensional regularization parameter. We apply the projector method to compute polarized amplitudes, which generalize massless helicity amplitudes to…

High Energy Physics - Phenomenology · Physics 2023-12-18 Federico Buccioni , Philipp Alexander Kreer , Xiao Liu , Lorenzo Tancredi

We study the quantum corrections to the polarizability of isolated metallic mesoscopic systems using the loop-expansion in diffusive propagators. We show that the difference between connected (grand-canonical ensemble) and isolated…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 M. Treiber , P. M. Ostrovsky , O. M. Yevtushenko , J. von Delft , I. V. Lerner

In this study, we systematically calculate one-loop corrections to the Lorentz-violating vertices within the framework of CPT-odd Quantum Electrodynamics, encompassing scalar and photon fields in arbitrary gauge. Additionally, we ascertain…

High Energy Physics - Theory · Physics 2024-02-14 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov