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We compute the three-loop beta functions of long-range multi-scalar models with general quartic interactions. The long-range nature of the models is encoded in a kinetic term with a Laplacian to the power $0<\zeta<1$, rendering the…

High Energy Physics - Theory · Physics 2024-11-06 Dario Benedetti , Razvan Gurau , Sabine Harribey , Kenta Suzuki

Since the SU(n) gauge theory with massive gauge bosons has been proven to be renormalisable we reinvestigate the renormalisability of the SU$_L$(2) $\times$ U$_Y$(1) electroweak theory with massive W Z bosons. We expound that with the…

High Energy Physics - Theory · Physics 2016-09-06 Ze-sen Yang , Xianhui Li , Zhinig Zhou , Yushu Zhong

We briefly review the strategy to perform non-perturbative heavy quark effective theory computations and we specialize to the case of the b quark mass which has recently been computed including the 1/m term.

High Energy Physics - Lattice · Physics 2008-11-26 Mauro Papinutto

We determine to order alpha^3 the so-called residual mass in the lattice regularisation of the Heavy Quark Effective Theory for Nf=2. Our (gauge-invariant) strategy makes use of Numerical Stochastic Perturbation Theory to compute the static…

High Energy Physics - Lattice · Physics 2010-02-03 Francesco Di Renzo , Luigi Scorzato

We present results of a high statistics study (O(2000) configurations) of the quark masses in the MS-bar scheme from Lattice QCD in the quenched approximation at beta=6.0, beta=6.2 and beta=6.4 using both the Wilson and the tree-level…

High Energy Physics - Lattice · Physics 2009-10-30 L. Giusti

We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N=2 SU(N) SYM theories with massless matter content and non-vanishing beta-function. Following Pestun's approach, we can use supersymmetric localization on the…

High Energy Physics - Theory · Physics 2023-12-20 M. Billo' , L. Griguolo , A. Testa

We compute the one-loop beta functions of the cosmological constant, Newton's constant and the topological mass in topologically massive supergravity in three dimensions. We use a variant of the proper time method supplemented by a simple…

High Energy Physics - Theory · Physics 2015-06-12 R. Percacci , M. J. Perry , C. N. Pope , E. Sezgin

We study a scalar field theory coupled to gravity on a flat background, below Planck's energy. Einstein's theory is treated as an effective field theory. Within the context of Wilson's renormalization group, we compute gravitational…

High Energy Physics - Theory · Physics 2010-11-01 L. Griguolo , R. Percacci

We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the…

High Energy Physics - Lattice · Physics 2009-10-31 C. Christou , A. Feo , H. Panagopoulos , E. Vicari

Using methods of effective field theory, factorized expressions for arbitrary B -> X_u l nu decay distributions in the shape-function region of large hadronic energy and moderate hadronic invariant mass are derived. Large logarithms are…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. W. Bosch , B. O. Lange , M. Neubert , G. Paz

We calculate the beta-functions of the general massive (p,q) supersymmetric sigma model to two loop order using (1,0) superfields. The conditions for finiteness are discussed in relation to (p,q) supersymmetry. We also calculate the…

High Energy Physics - Theory · Physics 2009-10-28 N. D. Lambert

A lattice computation of the B-meson decay constant and the mass of the b-quark to leading order in the heavy quark effective theory is presented. The involved renormalization problems are solved non-perturbatively, and the continuum limit…

High Energy Physics - Phenomenology · Physics 2011-01-27 Jochen Heitger

We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group…

High Energy Physics - Theory · Physics 2012-02-29 F. Saueressig , K. Groh , S. Rechenberger , O. Zanusso

We compute, to two loops in pertubation theory, the fermionic contribution to rectangular RxT Wilson loops, for different values of R and T. We use the overlap fermionic action. We also employ the clover action, for comparison with existing…

High Energy Physics - Lattice · Physics 2016-09-01 A. Athenodorou , H. Panagopoulos

This is an elementary introduction to Wilson renormalization group and continuum effective field theories. We first review the idea of Wilsonian effective theory and derive the flow equation in a form that allows multiple insertion of…

High Energy Physics - Theory · Physics 2007-05-23 Chanju Kim

We present the first lattice calculation of the B-meson binding energy $\labar$ and of the kinetic energy $\lambda_1/2 m_Q$ of the heavy-quark inside the pseudoscalar B-meson. In order to cancel the ambiguities due to the ultraviolet…

High Energy Physics - Lattice · Physics 2009-10-09 M. Crisafulli , V. Gimenez , G. Martinelli , C. T. Sachrajda

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 calculate the vector meson masses in $N_{\rm f} = 2+1$ Wilson chiral perturbation theory at next-to-leading order. Generalizing the framework of heavy vector meson chiral perturbation theory, the quark mass and the lattice cutoff…

High Energy Physics - Lattice · Physics 2009-11-11 S. Aoki , O. Baer , S. Takeda

We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.…

High Energy Physics - Lattice · Physics 2010-10-25 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We review recent activity in the construction of the renormalization group functions for O(N) scalar and gauge theories in six and higher dimensions. The theories lie in their respective universality classes at the Wilson-Fisher fixed…

High Energy Physics - Theory · Physics 2016-10-17 J. A. Gracey