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This work investigates the implications of very special relativity (VSR) on the calculation of vacuum polarization for fermions in the presence of Maxwell and Kalb-Ramond gauge fields in four-dimensional spacetime. We derive the…

High Energy Physics - Theory · Physics 2023-11-16 Roberto V. Maluf , Gonzalo J. Olmo

A power expansion scheme is set up to determine the Wigner function that satisfies the quantum kinetic equation for spin-1/2 charged fermions in a background electromagnetic field. Vector and axial-vector current induced by magnetic field…

High Energy Physics - Phenomenology · Physics 2012-12-27 Jian-Hua Gao , Zuo-Tang Liang , Shi Pu , Qun Wang , Xin-Nian Wang

We report on our recent calculation of massive quark form factors using a semi-numerical approach based on series expansions of the master integrals around singular and regular kinematic points and numerical matching. The methods allows to…

High Energy Physics - Phenomenology · Physics 2022-07-15 Kay Schönwald

We present complete results for the $O(\alpha_s)$ corrections to the production of a heavy quark pair plus a hard photon, in $e^+ e^-$ annihilation, including both photon and $Z$ intermediate states. Virtual corrections are calculated…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Magnea , E. Maina

We compute the vacuum polarization on the lattice using non-perturbatively O(a) improved Wilson fermions. The result is compared with the operator product expansion (OPE).

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , W. Kurzinger , V. Linke , D. Pleiter , P. E. L. Rakow , G. Schierholz

We give an update of our calculation of the light-quark, connected, hadronic vacuum polarization contribution to the muon anomalous magnetic moment, or muon $g-2$. The update includes preliminary results on a $2 + 1 + 1$ highly-improved…

High Energy Physics - Lattice · Physics 2026-03-02 Vaishakhi Moningi , Christopher Aubin , Thomas Blum , Maarten Golterman , Luchang Jin , Santiago Peris

We investigate a new numerical procedure to compute fermionic correlation functions at very small quark masses. Large statistical fluctuations, due to the presence of local ``bumps'' in the wave functions associated with the low-lying…

High Energy Physics - Lattice · Physics 2010-02-03 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

We present the Master Integrals needed for the calculation of the two-loop QCD corrections to the forward-backward asymmetry of a quark-antiquark pair produced in electron-positron annihilation events. The abelian diagrams entering in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Bonciani , P. Mastrolia , E. Remiddi

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 present exact results, at next-to-leading order in renormalization-group improved perturbation theory, for the Wilson coefficients appearing at order 1/m_Q in the heavy-quark expansion of heavy-light current operators. To this end, we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Becher , Matthias Neubert , Alexey A. Petrov

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

In this talk we discuss a number of ChPT calculations relevant for lattice QCD. These include the finite volume corrections at two-loop order for masses and decay constants. The second part is about hadronic vacuum polarization where we…

High Energy Physics - Lattice · Physics 2016-11-21 Johan Bijnens , Johan Relefors

In this article two-loop QED corrections to the muon decay and corrections of order $\alpha_s^2$ to the semileptonic decay of the bottom quark are considered. We compute the imaginary part of the four-loop diagrams contributing to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Steinhauser , T. Seidensticker

We compute three-loop virtual corrections to the associated production of a Higgs boson with a $Z$ boson in the large-$m_t$ limit. We describe in detail the application of the asymptotic expansion and provide, for all form factors, analytic…

High Energy Physics - Phenomenology · Physics 2025-12-02 Joshua Davies , Dominik Grau , Kay Schönwald , Matthias Steinhauser , Daniel Stremmer

We explore a local form of second-order Vasiliev equations proposed in [arXiv:1706.03718] and obtain an explicit expression for quadratic corrections to bosonic Fronsdal equations, generated by gauge-invariant higher-spin currents. Our…

High Energy Physics - Theory · Physics 2018-04-24 Nikita Misuna

We report our progress in simulating Neuberger valence fermions on N_f=2 Wilson O(a)-improved sea quarks. We compute correlators with valence quark masses both in the p- and in the epsilon-regime, and we match the results with the…

High Energy Physics - Lattice · Physics 2011-10-06 Fabio Bernardoni , Nicolas Garron , Pilar Hernandez , Silvia Necco , Carlos Pena

The hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon is parametrized by using the quark-resonance model formulated in \cite{QR}. In this context a recent prediction obtained within the ENJL model…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Pallante

We present results for two-loop diagrams with massive quarks in the eikonal approximation. Explicit expressions are given for the UV poles in dimensional regularization of several of the required integrals.

High Energy Physics - Phenomenology · Physics 2009-04-02 Nikolaos Kidonakis , Philip Stephens

By means of a heavy-top-quark effective Lagrangian, we calculate the three-loop corrections of O(alpha_s^2 G_F M_t^2) to the H->bb-bar partial decay width of the standard-model Higgs boson with intermediate mass M_H<<2M_t. We take advantage…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Chetyrkin , B. A. Kniehl , M. Steinhauser

In the framework of nonrelativistic QCD, we compute the leading double-logarithmic corrections of order alpha_s^3 ln^2(1/alpha_s) to the heavy-quark-antiquark bound-state wave function at the origin, which determines the production and…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. A. Kniehl , A. A. Penin