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We compute one-loop and two-loop beta-functions for vacuum expectation values (VEVs) in gauge theories. In R_xi gauge the VEVs renormalize differently from the respective scalar fields. We focus particularly on the origin and behavior of…

High Energy Physics - Phenomenology · Physics 2013-10-09 Marcus Sperling , Dominik Stöckinger , Alexander Voigt

We bound anomalous gauge boson couplings using LEP data for the $Z\rightarrow {\overline f} f$ partial widths. We use an effective field theory formalism to compute the one-loop corrections resulting from non-standard model three and four…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Dawson , G. Valencia

We compute the beta-function and the anomalous dimension of all the non-derivative operators of the theory up to three-loops for the most general nearest-neighbour O(N)-invariant action together with some contributions to the four-loop…

High Energy Physics - Lattice · Physics 2009-10-22 Sergio Caracciolo , Andrea Pelissetto

For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are…

High Energy Physics - Phenomenology · Physics 2020-04-15 Alexander Bednyakov , Andrey Pikelner

To investigate the non-perturbative, electric sector of a deconfined gauge theory at nonzero temperature, we consider a SU(2) matrix model. We compute beta-functions to one loop order for the simplest extension of the O(4) nonlinear sigma…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michaela Oswald , Robert D. Pisarski

We analytically compute the five-loop term in the beta function which governs the running of $\alpha_s$ --- the quark-gluon coupling constant in QCD. The new term leads to a reduction of the theory uncertainty in $\alpha_s$ taken at the…

High Energy Physics - Phenomenology · Physics 2017-03-01 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

Three-loop $\beta$-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous…

High Energy Physics - Phenomenology · Physics 2022-10-19 Olesya Haneychuk , Valentina Shirokova , Konstantin Stepanyantz

In part I general aspects of the renormalization of a spontaneously broken gauge theory have been introduced. Here, in part II, two-loop renormalization is introduced and discussed within the context of the minimal Standard Model.…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , G. Passarino

We argue that in the two-loop approximation gauge coupling unification in the exceptional supersymmetric standard model can be achieved for any phenomenologically reasonable value of strong gauge coupling at the electroweak scale consistent…

High Energy Physics - Phenomenology · Physics 2015-05-14 P. Athron , S. F. King , R. Luo , D. J. Miller , S. Moretti , R. Nevzorov

We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities.…

High Energy Physics - Theory · Physics 2009-11-11 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

We introduce in typical examples new methods for the calculation of massive loop integrals appearing in the radiative correction calculations of the Standard Model.

High Energy Physics - Phenomenology · Physics 2011-04-20 Dirk Kreimer

In pure SU(2) gauge theory we compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional. This result is required to relate the latter to the…

High Energy Physics - Lattice · Physics 2009-10-22 Ulli Wolff

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

We compute the four-loop beta functions of short and long-range multi scalar models with general sextic interactions and complex fields. We then specialize the beta functions to a $U(N)^3$ symmetry and study the renormalization group at…

High Energy Physics - Theory · Physics 2022-10-10 Sabine Harribey

We complete the two-loop calculation of beta-functions for vacuum expectation values (VEVs) in gauge theories by the missing O(g^4)-terms. The full two-loop results are presented for generic and supersymmetric theories up to two-loop level…

High Energy Physics - Phenomenology · Physics 2014-01-28 Marcus Sperling , Dominik Stöckinger , Alexander Voigt

We compute the beta functions for the $O(N)^3$-invariant general sextic tensor model up to cubic order in the coupling constant, and at leading order in the $1/N$ expansion. Our method is a direct, explicit one, in the sense that we…

High Energy Physics - Theory · Physics 2026-02-25 Gaetan Bardy , Thomas Krajewski , Thomas Muller , Adrian Tanasa

We study the low energy evolution of coupling constants of the standard model and show that gauge coupling unification can be achieved at the electroweak scale with a suitable normalization. We choose the grand unification group to be the…

High Energy Physics - Phenomenology · Physics 2013-01-30 E. K. Loginov

We consider gauge coupling unification in Lee-Wick extensions of the Standard Model that include higher-derivative quadratic terms beyond the minimally required set. We determine how the beta functions are modified when some Standard Model…

High Energy Physics - Phenomenology · Physics 2015-05-13 Christopher D. Carone

We consider the possibility of unification of the Supersymmetric Standard Model gauge groups with those of the dynamical supersymmetry breaking (DSB) sector in theories with gauge mediated supersymmetry breaking. We find constraints on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. L. Dubovsky , D. S. Gorbunov , S. V. Troitsky

The process of renormalization to eliminate divergences arising in quantum field theory is not uniquely defined; one can always perform a finite renormalization, rendering finite perturbative results ambiguous. The consequences of making…

High Energy Physics - Phenomenology · Physics 2019-01-24 D. G. C. McKeon , Chenguang Zhao
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