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Using functional renormalization group methods, we study an effective low-energy model describing the Ising-nematic quantum critical point in two-dimensional metals. We treat both gapless fermionic and bosonic degrees of freedom on equal…

Strongly Correlated Electrons · Physics 2012-06-25 Casper Drukier , Lorenz Bartosch , Aldo Isidori , Peter Kopietz

The naive implementation of finite width effects in processes involving unstable particles can violate gauge invariance. For the example of radiative $W$ production and decay, $q\bar q' \to \ell\nu\gamma$, at tree level, it is demonstrated…

High Energy Physics - Phenomenology · Physics 2016-09-01 U. Baur , D. Zeppenfeld

Recent results of two-loop contributions to the muon (g-2) in the Standard Model and its supersymmetric extension are presented. In the SM the EW contributions are fixed according to the Higgs boson mass measured at LHC. In the MSSM we…

High Energy Physics - Phenomenology · Physics 2014-07-29 Helvecio G. Fargnoli , Christoph Gnendiger , Sebastian Paßehr , Dominik Stöckinger , Hyejung Stöckinger-Kim

The functional renormalization group equation is expanded to a two-loop form. This two-loop form equation involves one-loop effective action. An intermediate effective action perspective is adopted toward the one-loop effective action. That…

High Energy Physics - Theory · Physics 2013-10-30 Ming-Fan Li , Mingxing Luo

This work presents the calculation of the relation between the bare coupling constant g_0 and the MSbar-renormalized coupling g_MS, g_0 = Z_g(g_0,a\mu) g_MS, to 2 loops in perturbation theory, with fermions in an arbitrary representation of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Constantinou , H. Panagopoulos

We present the complete 4-loop renormalisation of an Abelian chiral gauge theory in the Breitenlohner-Maison / `t Hooft-Veltman (BMHV) scheme. Employing a non-anticommuting $\gamma_5$ in dimensional regularisation, we determine the full set…

High Energy Physics - Phenomenology · Physics 2025-06-17 Andreas von Manteuffel , Dominik Stöckinger , Matthias Weißwange

We describe a fully generic implementation of two-body partial decay widths at the full one-loop level in the SARAH and SPheno framework compatible with most supported models. It incorporates fermionic decays to a fermion and a scalar or a…

High Energy Physics - Phenomenology · Physics 2017-12-06 Mark D. Goodsell , Stefan Liebler , Florian Staub

One of the most powerful methods for obtaining a precision measurement of M_W at LEP2 is from direct reconstruction of the invariant mass distribution of W bosons produced in e+e- --> W+W-. We investigate the effects on the W line shape,…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. A. Khoze , W. J. Stirling

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

High Energy Physics - Lattice · Physics 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto

The electroweak process $p\bar p \to \ell^\pm\nu\gamma\gamma$ is calculated at tree level, including finite W width effects. In order to obtain a gauge invariant amplitude, the imaginary parts of $WW\gamma$ triangle graphs and…

High Energy Physics - Phenomenology · Physics 2009-10-30 U. Baur , T. Han , N. Kauer , R. Sobey , D. Zeppenfeld

We estimate the power corrections (infrared renormalon contributions) to the coefficient functions for the transverse, longitudinal and asymmetric fragmentation functions in $e^+e^-$ annihilation, using a method based on the analysis of…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Dasgupta , B. R. Webber

The three-loop QED mass-dependent contributions to the $g-2$ of each of the charged leptons with two internal closed fermion loops, sometimes called $A^{(6)}_3\left(\frac{m_1}{m_2}, \frac{m_1}{m_3}\right)$ in the $g-2$ literature, is…

High Energy Physics - Phenomenology · Physics 2020-07-01 B. Ananthanarayan , Samuel Friot , Shayan Ghosh

We analyze the divergent part of the one-loop effective action for the noncommutative SU(2) gauge theory coupled to the fermions in the fundamental representation. We show that the divergencies in the 2-point and the 3-point functions in…

High Energy Physics - Theory · Physics 2009-11-10 Maja Buric , Voja Radovanovic

Radiative one-loop corrections to fermion pair production in $e^+e^-$ annihilation are calculated in the Minimal Supersymmetric Standard Model (MSSM). The size of the non-standard corrections is discussed for the process e^+e^- to mu^+mu^-…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. Hollik , C. Schappacher

The complete set of one-loop anomalous dimensions for general Effective Field Theories (EFTs) is derived using on-shell methods. Combined with previous findings for the bosonic sector, the obtained results conclude the computation of the…

High Energy Physics - Phenomenology · Physics 2025-12-19 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

Recently, Grabowska and Kaplan constructed a four-dimensional lattice formulation of chiral gauge theories on the basis of the chiral overlap operator. At least in the tree-level approximation, the left-handed fermion is coupled only to the…

High Energy Physics - Lattice · Physics 2017-10-03 Hiroki Makino , Okuto Morikawa , Hiroshi Suzuki

We analyze the effect of scheme transformations in the vicinity of an exact or approximate infrared fixed point in an asymptotically free gauge theory with fermions. We show that there is far less freedom in carrying out such scheme…

High Energy Physics - Phenomenology · Physics 2012-10-03 Thomas A. Ryttov , Robert Shrock

A method is described for the development of the one-loop effective action expansion as an asymptotic series in inverse powers of the fermion mass. The method is based on the Schwinger-DeWitt proper-time technique, which allows for loop…

High Energy Physics - Theory · Physics 2009-11-07 Alexander A. Osipov , Brigitte Hiller

We analyze general properties of the perturbation expansion for two-dimensional quantum critical metals with singular forward scattering, such as metals at an Ising nematic quantum critical point and metals coupled to a U(1) gauge field. We…

Strongly Correlated Electrons · Physics 2016-01-13 Tobias Holder , Walter Metzner

Based on the hard-thermal-loop resummed improved ladder Dyson-Schwinger quation for the fermion mass function, we study how we can get the gauge invariant solution in the sense it satisfies the Ward identity. Properties of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hisao Nakkagawa , Hiroshi Yokota , Koji Yoshida
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