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We compute the eighth-order fermionic corrections involving two and three closed massless fermion loops to the anomalous magnetic moment of the muon. The required four-loop on-shell integrals are classified and explicit analytical results…

High Energy Physics - Phenomenology · Physics 2015-06-12 Roman Lee , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We have studied the interactions between two heavy mesons ($D^{(*)}$-$D^{(*)}$, $\bar D^{(*)}$-$\bar D^{(*)}$, $B^{(*)}$-$B^{(*)}$, or $\bar B^{(*)}$-$\bar B^{(*)}$) within heavy meson chiral effective field theory and investigated possible…

High Energy Physics - Phenomenology · Physics 2019-11-26 Zhan-Wei Liu , Bo Wang , Hao Xu , Ning Li , Xiang Liu , Shi-Lin Zhu

We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. In this paper we…

Mathematical Physics · Physics 2020-09-14 J. -B. Bru , W. de Siqueira Pedra

Low- and intermediate mass Higgs bosons decay preferably into fermion pairs. The one-loop electroweak corrections to the respective decay rates are dominated by a flavour-independent term of ${\cal O}(G_Fm_t^2)$. We calculate the two-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Bernd A. Kniehl

Dynamical mass generation in a three-dimensional version of finite-temperature QED is studied with the help of Schwinger-Dyson equations in the real-time formalism. We go beyond the bare-vertex approximation and include wave-function…

High Energy Physics - Phenomenology · Physics 2009-10-31 George Triantaphyllou

We generalize the recently introduced dual fermion (DF) formalism for disordered fermion systems by including the effect of interactions. For an interacting disordered system the contributions to the full vertex function have to be…

Strongly Correlated Electrons · Physics 2014-05-21 S. -X. Yang , P. Haase , H. Terletska , Z. Y. Meng , T. Pruschke , J. Moreno , M. Jarrell

We describe the calculation of the two--loop massive operator matrix elements for massive external fermions. These matrix elements are needed for the calculation of the $O(\alpha^2)$ initial state radiative corrections to $e^+e^-$…

High Energy Physics - Phenomenology · Physics 2009-04-14 J. Blümlein , A. De Freitas , W. van Neerven

We calculate the non-forward quark matrix elements for operators with two covariant derivatives in one-loop lattice perturbation theory using Wilson fermions. These matrix elements are needed in the renormalisation of the second moment of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation to derive the effective action $\Gamma_0$ by integrating…

High Energy Physics - Theory · Physics 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

We study a pseudogap region of the mixed boson fermion system using a recent formulation of the renormalization group technique through the set of infinitesimal unitary transformations. Renormalization of fermion energies gives rise to a…

Superconductivity · Physics 2016-08-31 T. Domanski , J. Ranninger

There exist local infinitesimal redefinitions of the fermionic fields, which may be used to modify the strength of the coupling for the interaction term in massless QED3. Under those (formally unitary) transformations, the functional…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco

Recently we have obtained a non-perturbative but convergent series expression of the one loop effective action of QED, and discussed the renormalization of the effective action. In this paper we establish the electric-magnetic duality in…

High Energy Physics - Theory · Physics 2009-10-31 W. S. Bae , Y. M. Cho , D. G. Pak

We propose a new method for an analytical, non-perturbative computation of effective quark interactions from QCD. It is based on an exact flow equation which describes the scale dependence of the effective average action for quarks in…

High Energy Physics - Theory · Physics 2008-02-03 C. Wetterich

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

We address the perturbative renormalization of massive lattice fermions. We derive expressions-valid to all orders in perturbation theory and for all values of the bare fermion mass-for the rest mass, the kinetic mass, and the wave-function…

High Energy Physics - Lattice · Physics 2010-11-19 Bartholomeus P. G. Mertens , Andreas S. Kronfeld , Aida X. El-Khadra

We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics (qQED) at finite temperature in the bare vertex approximation, using Schwinger-Dyson equations (SDE). Motivated by perturbation theory,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Ayala , Adnan Bashir

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated…

High Energy Physics - Theory · Physics 2009-11-18 Ian Jack , D. R. Timothy Jones , Philipp Kant , Luminita Mihaila

Lattice QCD with additional chiral-invariant four-fermion interactions is studied at nonzero temperature. Staggered Kogut-Susskind quarks are used. The four-fermion interactions are implemented by introducing bosonic auxiliary fields. A…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Chavel

The gap equation for fermions in a version of thermal QED in three dimensions is studied numerically in the Schwinger-Dyson formalism. The interest in this theory has been recently revived since it has been proposed as a model of…

High Energy Physics - Phenomenology · Physics 2009-09-25 George Triantaphyllou