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In this article, we present an ongoing lattice study of the Higgs-Yukawa model, in the regime of strong-Yukawa coupling, using overlap fermions. We investigated the phase structure in this regime by computing the Higgs vacuum expectation…

We apply Pade summation to the \beta(\lambda) function for the quartic Higgs coupling \lambda in the standard electroweak model. We use the \beta function calculated to five loops in the minimal subtraction scheme to demonstrate the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Loyal Durand , Gregory Jaczko

The effective renormalizable theory describing electromagnetic and strong interactions of quarks of five light flavors ($n_f = 5$ QCD$\times$QED) is considered as a low-energy limit of the full Standard Model. Two-loop relation between the…

High Energy Physics - Phenomenology · Physics 2018-12-31 A. V. Bednyakov

The $ \beta $-functions of marginal couplings are known to be closely related to the $ A $-function through Osborn's equation, derived using the local renormalization group. It is possible to derive strong constraints on the…

High Energy Physics - Theory · Physics 2019-10-02 Colin Poole , Anders Eller Thomsen

We present the matching condition for the strong coupling contant alpha_s at a heavy quark threshold to four loops in the modified minimal subtraction scheme. Our results lead to further decrease of the theoretical uncertainty of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , J. H. Kühn , C. Sturm

We present the general form of the renormalizable four-point interactions of a complex scalar field furnishing an irreducible representation of SU(2), and derive a set of algebraic identities that facilitates the calculation of higher-order…

High Energy Physics - Phenomenology · Physics 2020-10-28 Joachim Brod , Zachary Polonsky

We consider dominant 3-, 4-, and 5-loop contributions to $\lambda$, the quartic scalar coupling-constant's $\beta$-function in the Standard Model. We find that these terms accelerate the evolution of $\lambda$ to nonperturbative values,…

High Energy Physics - Theory · Physics 2009-11-11 V. Elias , S. Homayouni , D. J. Jeffrey

We start with the explicit solution, in terms of the Lambert W function, of the renormalization group equation (RGE) for the gauge coupling in the supersymmetric Yang-Mills theory described by the well-known beta function of Novikov et…

High Energy Physics - Phenomenology · Physics 2012-03-06 Gorazd Cvetič , Igor Kondrashuk

In this letter, we first resume the results of a previous article (EPJC(2011)71:1620). That work considered a simple model of QCD including a Yukawa interaction with a scalar field. Its two loop effective potential for the scalar field,…

High Energy Physics - Phenomenology · Physics 2017-06-30 Jose Carlos Suarez Cortina , Denys Arrebato , Alejandro Cabo

We consider the renormalization of the one-loop effective action for the Yukawa interaction. We compute the beta functions in the generalized DeWitt-Schwinger subtraction scheme. For the quantized scalar field we obtain that all the beta…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Sergi Nadal-Gisbert , Antonio Ferreiro , José Navarro-Salas

We calculate Yukawa interactions at one-loop on intersecting D6 branes. We demonstrate the non-renormalization theorem in supersymmetric configurations, and show how Yukawa beta functions may be extracted. In addition to the usual…

High Energy Physics - Theory · Physics 2009-11-10 S. A. Abel , B. W. Schofield

The Higgs-Top model is studied by a non-perturbative variational extension of the Gaussian Effective Potential that incorporates fermions. In the limit of a very strong Yukawa coupling the one-loop result is shown to follow a…

High Energy Physics - Phenomenology · Physics 2012-11-05 Fabio Siringo

We calculate the three loop contribution to the beta-function of the gauge coupling constant in a general, anomaly-free, renormalisable gauge field theory involving a single gauge coupling using the background field method in the MSbar…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. G. M. Pickering , J. A. Gracey , D. R. T. Jones

We discuss the parameterization for electroweak gauge boson interactions without a light Higgs boson. We present the constraints on the anomalous gauge-boson couplings from the current experiments. We emphasize that the four-point couplings…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tao Han

We consider a quark-lepton symmetry model of unification of the strong and electromagnetic interactions. The model has the gauge group $SU(4)\times U(1)_{Y}$ and the minimal Higgs structure consisting of one complex quartet of scalar…

High Energy Physics - Phenomenology · Physics 2009-04-09 E. K. Loginov

We provide a closed analytical form for the gauge contribution to the beta function of a generic Yukawa coupling in the limit of large $N_F$, where $N_F$ is the number of heavy vector-like fermions charged under an abelian or non-abelian…

High Energy Physics - Phenomenology · Physics 2020-05-20 Kamila Kowalska , Enrico Maria Sessolo

We study the impact of the Yukawa interaction in the large-$N_f$ limit to the abelian gauge theory. We compute the coupled $\beta$-functions for the system in a closed form at $\mathcal{O}(1/N_f)$.

High Energy Physics - Phenomenology · Physics 2018-12-26 Tommi Alanne , Simone Blasi

In unified gauge theories there exist renormalization group invariant relations among gauge and Yukawa couplings that are compatible with perturbative renormalizability, which could be considered as a Gauge-Yukawa Unification. Such…

High Energy Physics - Theory · Physics 2008-02-03 Jisuke Kubo , Myriam Mondragon , George Zoupanos

In supersymmetric theories with extra dimensions, the Higgs and matter fields can be part of the gauge multiplet, so that the Yukawa interactions can arise from the gauge interactions. This leads to the possibility of gauge-Yukawa coupling…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ilia Gogoladze , Yukihiro Mimura , S. Nandi

We desribe in detail a Z_6 orbifold compactification of the heterotic E_8 x E_8 string which leads to the (supersymmetric) standard model gauge group and matter content. The quarks and leptons appear as three 16-plets of SO(10), two of…

High Energy Physics - Theory · Physics 2008-11-26 Wilfried Buchmuller , Koichi Hamaguchi , Oleg Lebedev , Michael Ratz