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The lectures are a practical introduction to perturbative calculations in QED and QCD. I discuss methods of calculation of one- and two-loop diagrams in dimensional regularization, MSbar and on-shell renormalization schemes, decoupling of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrey Grozin

We compute loop corrections in p-adic open string field theory. We argue that quantum effects induce a pole with m^2 ~ - ln g for the open string field at the locally stable vacuum. We also compute the one loop effective potential and show…

High Energy Physics - Theory · Physics 2007-05-23 Joseph A. Minahan

The first order QED corrections to the polarized muon decay spectrum are considered. The exact dependence on electron and muon masses is kept. Numerical results are presented.

High Energy Physics - Phenomenology · Physics 2009-11-07 A. B. Arbuzov

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

We review the four-loop QED corrections to the anomalous magnetic moment of the muon. The fermionic contributions with closed electron and tau contributions are discussed. Furthermore, we report on a new independent calculation of the…

High Energy Physics - Phenomenology · Physics 2017-09-21 Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser , David Wellmann

Nucleon electric dipole moments originating from strong CP-violation are being calculated by several groups using lattice QCD. We revisit the finite volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current,…

High Energy Physics - Phenomenology · Physics 2014-07-25 Tarik Akan , Feng-Kun Guo , Ulf-G. Meißner

We use previously developed radiative potential method to calculate quantum electrodynamic (QED) corrections to energy levels and electric dipole transition amplitudes for atoms which are used for the study of the parity non-conservation…

Atomic Physics · Physics 2014-03-20 B. M. Roberts , V. A. Dzuba , V. V. Flambaum

The static Coulomb potential of Quantum Electrodynamics (QED) is calculated in the presence of a strong magnetic field in the lowest Landau level (LLL) approximation using two different methods. First, the vacuum expectation value of the…

High Energy Physics - Theory · Physics 2008-11-26 N. Sadooghi , A. Sodeiri Jalili

The magnetic dipole (M1) and electric quadupole (E2) responses of two-dimensional quantum dots with an elliptic shape are theoretically investigated as a function of the dot deformation and applied static magnetic field. Neglecting the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Enrico Lipparini , Llorenç Serra , Antonio Puente

We present an analytic calculation of electron and tau O(alpha^3) loop effects on the muon anomalous magnetic moment. Computation of such three-loop diagrams with three mass scales is possible using asymptotic and eikonal expansions. An…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , Maciej Skrzypek

We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , D. J. Miller

We report a calculation of all two-loop QED corrections with closed fermion loops for the n=1 and n=2 states of H-like ions and for a wide range of the nuclear charge numbers Z=1-100. The calculation is performed to all orders in the…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

We analyze two-loop gluino corrections to the neutron electric dipole moment (EDM) in the minimal supersymmetry extension of the standard model (MSSM). The dependence of two-loop corrections on the relevant CP violating phases differs from…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tai-Fu Feng , Xue-Qian Li , Jukka Maalampi , Xinmin Zhang

An analytical approach is applied to the calculation of some dimensionally-regulated two-loop vertex diagrams with essential on-shell singularities. Such diagrams are important for the evaluation of QED corrections to the muon decay, QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Davydychev , V. A. Smirnov

The response of the QCD vacuum to very large static external magnetic fields (q B >> Lambda_QCD^2) is studied. In this regime, the magnetization of the QCD vacuum is naturally described via perturbative QCD. Combining pQCD and the Schwinger…

High Energy Physics - Phenomenology · Physics 2010-04-15 Thomas D. Cohen , Elizabeth S. Werbos

The one-electron quantum-electrodynamic corrections to the magnetic-dipole transition amplitude between the fine-structure levels (1s^2 2s^2 2p) ^2P_3/2 - ^2P_1/2 in boronlike ions are calculated to all orders in (\alpha Z). The results…

Atomic Physics · Physics 2009-11-11 A. V. Volotka , D. A. Glazov , G. Plunien , V. M. Shabaev , I. I. Tupitsyn

We compute QCD corrections to QED calculations for vacuum polarization in background magnetic fields. Formally, the diagram for virtual $e\bar{e}$ loops is identical to the one for virtual $q\bar{q}$ loops. However due to confinement, or to…

High Energy Physics - Phenomenology · Physics 2010-10-27 P. Castelo Ferreira , J. Dias de Deus

The Drell-Yan production of charged lepton pairs is one of the key processes measured at hadron colliders. The QCD corrections to the cross section are known to order $\alpha_s^2$ and electroweak corrections are known to order $\alpha$. The…

High Energy Physics - Phenomenology · Physics 2019-12-20 Matthias Heller , Andreas von Manteuffel , Robert M. Schabinger , Hubert Spiesberger

In this paper, we consider the $\beta$ function at one-loop approximation for noncommutative scalar QED. The renormalization of the full theory, including the basic vertices, and the renormalization group equation are fully established.…

High Energy Physics - Theory · Physics 2017-04-27 M. Ghasemkhani , R. Bufalo , V. Rahmanpour , E. Nouri

We find first nonlinear correction to the field, produced by a static charge at rest in a background constant magnetic field. It is quadratic in the charge and purely magnetic. The third-rank polarization tensor - the nonlinear response…

High Energy Physics - Theory · Physics 2013-07-08 Dmitry M. Gitman , Anatoly E. Shabad