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We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A_1 theory,…

High Energy Physics - Theory · Physics 2009-11-10 Andreas Gustavsson

We compute the spectrum of anomalous dimensions of non-derivative composite operators with an arbitrary number of fields $n$ in the $O(N)$ vector model with cubic anisotropy at the one-loop order in the $\epsilon$-expansion. The complete…

High Energy Physics - Theory · Physics 2019-09-19 Oleg Antipin , Jahmall Bersini

The recent forward-backward asymmetry recorded by the CDF Collaboration for the top and anti-top quark pair production indicates more than $2\sigma$ deviation from the Standard Model prediction, while its total production cross section…

High Energy Physics - Phenomenology · Physics 2009-12-04 Kingman Cheung , Wai-Yee Keung , Tzu-Chiang Yuan

We derive two-loop anomalous dimensions for four-Fermi operators in supersymmetric theories using the effective Kahler potential. We introduce the general forms in generic gauge theories and apply our results to the flavor-changing…

High Energy Physics - Phenomenology · Physics 2017-07-13 Junji Hisano , Takumi Kuwahara , Yuji Omura , Takeki Sato

We show that the anomalously large top quark forward-backward asymmetry observed by CDF and D\O\, can naturally be accommodated in models with flavor-violating couplings of a new massive spin-2 state to quarks. Regardless of its origin, the…

High Energy Physics - Phenomenology · Physics 2012-08-28 Benjamín Grinstein , Christopher W. Murphy , David Pirtskhalava , Patipan Uttayarat

Fisher's fluctuation-response relation is one of four famous scaling formulae and is consistent with a vanishing correlation-function anomalous dimension above the upper critical dimension d_c. However, it has long been known that numerical…

Statistical Mechanics · Physics 2014-12-23 R. Kenna , B. Berche

I present a general method for determining the massive cusp anomalous dimension in QCD to a very high degree of accuracy using its asymptotic behavior at small and large quark velocities. I show that the method works exceedingly well at two…

High Energy Physics - Phenomenology · Physics 2023-03-15 Nikolaos Kidonakis

In the N=4 super Yang-Mills theory, we consider the higher order anomalous dimensions gamma_L(g) of purely gluonic operators Tr(F^L) where F is a component of the self-dual field strength. We propose compact closed expressions depending…

High Energy Physics - Theory · Physics 2009-06-10 Matteo Beccaria , Valentina Forini

We compute anomalous dimensions of higher spin operators in Conformal Field Theory at arbitrary space-time dimension by using the OPE inversion formula of \cite{Caron-Huot:2017vep}, both from the position space representation as well as…

High Energy Physics - Theory · Physics 2018-12-05 Carlos Cardona , Kallol Sen

We study the strong coupling limit of AdS/CFT correspondence in the framework of a recently proposed fermionic formulation of the Bethe Ansatz equations governing the gauge theory anomalous dimensions. We provide examples of states that do…

High Energy Physics - Theory · Physics 2008-11-26 Matteo Beccaria , Carmine Ortix

We present the complete formula for the cusp anomalous dimension at four loops in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given by \begin{equation} {\Gamma}^{\rm}_{\rm cusp}\Big|_{\alpha_s^4} = -\left(…

High Energy Physics - Theory · Physics 2019-11-25 Johannes M. Henn , Gregory P. Korchemsky , Bernhard Mistlberger

The $\gamma^* \pi^0 \rightarrow \gamma$ form factor, including the extension off the pion mass-shell, is obtained from a generalized impulse approximation within a QCD-based model field theory known to provide an excellent description of…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. R. Frank , K. L. Mitchell , C. D. Roberts , P. C. Tandy

We consider massless three-dimensional $\mathcal{N}=1$ supersymmetric quantum electrodynamics (QED) with $N_f$ flavours of electrons. Within the dimensional reduction scheme, we compute the critical exponents corresponding to both the…

High Energy Physics - Theory · Physics 2023-02-15 S. Metayer , S. Teber

We consider renormalization of four-fermion operators in the critical QED and $SU(N_c)$ version of Gross--Neveu--Yukawa model in non-integer dimensions. Since the number of mixing operators is infinite, the diagonalization of an anomalous…

High Energy Physics - Theory · Physics 2018-11-07 Yao Ji , Alexander N. Manashov

In the past years many possible extensions of the Standard Model (SM) have been investigated. If one of this model is revealed at the LHC, we will need tools to distinguish it among the many others studied. One possibility to achieve this…

High Energy Physics - Phenomenology · Physics 2013-02-08 Andrea Mammarella

The spectrum of the anomalous dimensions of the composite operators (with arbitrary number of fields $n$ and derivatives $l$) in the scalar $\phi^4$ - theory in the first order of the $\epsilon$ -expansion is investigated. The exact…

High Energy Physics - Theory · Physics 2015-06-26 S. E. Derkachov , A. N. Manashov

The mass anomalous dimension for several gauge theories with an infrared fixed point has recently been determined using the mode number of the Dirac operator. In order to better understand the sources of systematic error in this method, we…

High Energy Physics - Lattice · Physics 2015-08-21 Liam Keegan

The anomaly implies an obstruction to a fully chiral covariant calculation of the effective action in the abnormal parity sector of chiral theories. The standard approach then is to reconstruct the anomalous effective action from its…

High Energy Physics - Theory · Physics 2009-03-24 L. L. Salcedo

The form factor for the anomalous process gamma pi^+ -> pi^+ pi^0, which is presently being measured at CEBAF, is calculated in the Schwinger-Dyson approach in conjunction with an impulse approximation. The form factors obtained by us are…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Bistrovic , D. Klabucar

In this note we compute the non-planar one loop anomalous dimension of restricted Schur polynomials that have a bare dimension of O(N). This is achieved by mapping the restricted Schur polynomials into states of a specific U(N) irreducible…

High Energy Physics - Theory · Physics 2015-06-03 Robert de Mello Koch , Garreth Kemp , Stephanie Smith