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When relating the strong coupling $\alpha_s$, measured at the scale of the $Z$ boson mass, to its numerical value at some higher energy, for example the scale of Grand Unification, it is important to include higher order corrections both in…

High Energy Physics - Phenomenology · Physics 2013-05-29 R. Harlander , L. Mihaila , M. Steinhauser

The elliptic flow $v_2$ and the ratio of the shear viscosity over the entropy density, $\eta/s$, of gluon matter are calculated from the perturbative QCD (pQCD) based parton cascade Boltzmann approach of multiparton scatterings. For Au+Au…

Nuclear Theory · Physics 2008-11-26 Zhe Xu , Carsten Greiner , Horst Stoecker

Two-loop QED corrections with closed fermion loops are calculated for the 1s bound-electron g factor. Calculations are performed to all orders in the nuclear binding strength parameter Z\alpha (where Z is the nuclear charge and \alpha is…

Atomic Physics · Physics 2015-06-16 V. A. Yerokhin , Z. Harman

Knowledge of two-loop QCD amplitudes for processes $q\bar q \to V_1 V_2 \to (l_1\bar l'_1)(l_2 \bar l'_2)$ is important for improving the theoretical description of four-lepton production in hadron collisions. In this paper we compute these…

High Energy Physics - Phenomenology · Physics 2015-06-22 Fabrizio Caola , Johannes M. Henn , Kirill Melnikov , Alexander V. Smirnov , Vladimir A. Smirnov

I present results for two-loop soft anomalous dimensions for heavy quark production which control soft-gluon resummation at next-to-next-to-leading-logarithm (NNLL) accuracy. I derive an explicit expression for the exact result and study it…

High Energy Physics - Phenomenology · Physics 2009-10-08 Nikolaos Kidonakis

We compute an approximate set of longitudinal quasiparticle modes for a hydrogen condensate as produced in the MIT experiments. An expansion in quasiparticles using a simple one-dimensional Bogoliubov picture shows however that at the high…

Condensed Matter · Physics 2009-10-31 C. W. Gardiner , A. S. Bradley

The aim of this work is to study the holographic dual to the gauge theory with a nonzero gluon condensate. We check for consistency the holographic way of describing the condensate and calculate the expectation value of a small Wilson loop…

High Energy Physics - Theory · Physics 2013-05-29 P. N. Kopnin , A. Krikun

We compute the part of the two-loop virtual amplitude for the process $gg \to V_1 V_2 \to (l_1 \bar l'_{1}) (l_2 \bar l'_2)$, where $V_{1,2}$ are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks.…

High Energy Physics - Phenomenology · Physics 2015-04-02 Fabrizio Caola , Johannes M. Henn , Kirill Melnikov , Alexander V. Smirnov , Vladimir A. Smirnov

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the coefficient function in…

High Energy Physics - Phenomenology · Physics 2021-08-03 V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber

We compute the 1-loop vertex function of the QCD coupling in the presence of an ultra intense magnetic field. From the vertex function, we extract the effective coupling and show that it grows with increasing magnetic field. We consider the…

High Energy Physics - Phenomenology · Physics 2024-03-22 Gabriela Fernández , Luis A. Hernández , R. Zamora

We present preliminary results on the computation of the QCD running coupling constant in the $\widetilde{MOM}$ scheme and Landau gauge with two flavours of dynamical Wilson quarks. Gluon momenta range up to about 7 GeV ($\beta =$ 5.6, 5.8…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , J. P. Leroy , H. Moutarde , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

We compute QCD radiative corrections to the continuum production of a pair of Z-bosons in the annihilation of two gluons. We only consider the contribution of the top quark loops and we treat them assuming that $m_t$ is much larger than any…

High Energy Physics - Phenomenology · Physics 2015-06-24 Kirill Melnikov , Matthew Dowling

We compute the matching coefficients between QCD and non-relativistic QCD for external vector, axial-vector, scalar and pseudo-scalar currents up to three-loop order. We concentrate on the non-singlet contributions and present precise…

High Energy Physics - Phenomenology · Physics 2022-06-22 Manuel Egner , Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We calculate the three-loop matching coefficient $C_{HH}$, required for a consistent description of Higgs boson pair production in gluon fusion through next-to-next-to-leading order QCD in the heavy top quark approximation. We also compute…

High Energy Physics - Phenomenology · Physics 2015-06-22 Jonathan Grigo , Kirill Melnikov , Matthias Steinhauser

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation…

High Energy Physics - Theory · Physics 2015-06-11 Ryo Saotome , Ratindranath Akhoury

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

In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based NJL…

High Energy Physics - Phenomenology · Physics 2014-08-11 Ademar Paulo , Fabio L. Braghin

We provide two two-loop amplitudes relevant for precision Higgs physics. The first is the two-loop amplitude for Higgs boson production through gluon fusion with exact dependence on the top quark mass up to squared order in the dimensional…

High Energy Physics - Phenomenology · Physics 2020-08-26 Charalampos Anastasiou , Nicolas Deutschmann , Armin Schweitzer

This contribution presents the running triple-gluon-vertex coupling constant, g_lambda, in Hamiltonians for the gluons that are characterized by the size 1/lambda. The coupling constant is obtained from renormalization group equations for…

High Energy Physics - Theory · Physics 2017-08-23 Stanislaw D. Glazek

Correlations between the momenta of the final state hadrons measured in proton or nucleus collisions contain information that sheds light on the initial conditions and evolutionary dynamics of the collision system. These correlation…

High Energy Physics - Phenomenology · Physics 2017-10-10 Sener Ozonder