Minimal walking on the lattice

Catterall, Simon; Sannino, Francesco

doi:10.1103/physrevd.76.034504

Cited by 218 publications

(216 citation statements)

References 26 publications

(24 reference statements)

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“…We stress that the above prediction of the conformal window is in agreement with all of the recent lattice calculations [14].…”

Section: Feb 2009supporting

confidence: 76%

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The Conformal Window and Walking Technicolor

Ryttov¹

2009

Nuclear Physics B - Proceedings Supplements

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I discuss recent progress in the uncovering of the phase diagram of non-supersymmetric gauge theories. The nature of the conformal window for higher dimensional representations suggests a possible way to construct realistic technicolor models. I then explicitly provide two such theories. One of these models also has a natural cold Dark Matter candidate.The origin of electroweak symmetry breaking is one of the most outstanding problems of today in high energy physics. In the past many different ideas have been proposed to explain the mass generation of the electroweak gauge bosons with technicolor [1] being one of the best motivated extensions beyond the Standard Model (SM). Despite the elegance of the technicolor proposal it is only very recent that viable specific models not at odds with experiments have been constructed (for a review see [2]).Typically one is faced with the problem of constructing a technicolor theory that does not give a too large contribution to the S parameter [3] while at the same time exhibits walking dynamics [4]. In the original technicolor proposal the fermions were taken to be in the fundamental representation and hence one was at odds with the Electroweak Precision Tests since a large number of fermions was needed in order to obtain the desired dynamics.However, with recent advances in the understanding of the phase diagram of gauge theories involving fermions in arbitrary representations of the gauge group [5,6,7,8] new directions and possibilities for model building have been opened and envisioned [5,9]. Already a large amount of work has been done ranging from the study of Beyond SM phenomenology [10], Unification [11] and the finite temperature phase transition [12] together with Cosmology [13]. Also the lattice is starting to probe the (near) conformal dynamics of the simplest models [14]. THE PHASE DIAGRAMLet us first set the notation by denoting the generators of the gauge group in the representation r by T a r , a = 1 . . . N 2 − 1. They are normalized according to Tr T a r T b r = T(r)δ ab while the quadratic Casimir C 2 (r) is given by T a r T a r = C 2 (r)I. The trace normalization factor T(r) and the quadratic Casimir are connected via C 2 (r)d(r) = T(r)d(G) where d(r) is the dimension of the representation r. The adjoint representation is denoted by G.Let us first consider an SU(N) gauge theory with N f (r i ) Dirac fermions in the representation r i , i = 1, . . . , k of the gauge group. To estimate the conformal window we shall employ the recently conjectured all-orders beta function for non-supersymmetric theories [8] β(g) = − g 3 (4π) 2with

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“…We stress that the above prediction of the conformal window is in agreement with all of the recent lattice calculations [14].…”

Section: Feb 2009supporting

confidence: 76%

“…Already a large amount of work has been done ranging from the study of Beyond SM phenomenology [10], Unification [11] and the finite temperature phase transition [12] together with Cosmology [13]. Also the lattice is starting to probe the (near) conformal dynamics of the simplest models [14]. …”

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confidence: 99%

The Conformal Window and Walking Technicolor

Ryttov¹

2009

Nuclear Physics B - Proceedings Supplements

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“…A vast body of literature exists on its spectrum [33][34][35][36][37][38][39][40][41][42], on the running of its coupling [43][44][45][46][47] and on the anomalous dimension of its chiral condensate [48][49][50][51][52]. From a phenomenological point of view, this theory is likely to be of limited relevance, since the anomalous dimension of the condensate is small.…”

Section: Lattice Formulation and Setupmentioning

confidence: 99%

Large mass hierarchies from strongly-coupled dynamics

Athenodorou

Bennett

Bergner

et al. 2016

J. High Energ. Phys.

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Besides the Higgs particle discovered in 2012, with mass 125 GeV, recent LHC data show tentative signals for new resonances in diboson as well as diphoton searches at high center-of-mass energies (2 TeV and 750 GeV, respectively). If these signals are confirmed (or other new resonances are discovered at the TeV scale), the large hierarchies between masses of new bosons require a dynamical explanation. Motivated by these tentative signals of new physics, we investigate the theoretical possibility that large hierarchies in the masses of glueballs could arise dynamically in new strongly-coupled gauge theories extending the standard model of particle physics. We study lattice data on non-Abelian gauge theories in the (near-)conformal regime as well as a simple toy model in the context of gauge/gravity dualities. We focus our attention on the ratio R between the mass of the lightest spin-2 and spin-0 resonances, that for technical reasons is a particularly convenient and clean observable to study. For models in which (non-perturbative) large anomalous dimensions arise dynamically, we show indications that this mass ratio can be large, with R > 5. Moreover, our results suggest that R might be related to universal properties of the IR fixed point. Our findings provide an interesting step towards understanding large mass ratios in the non-perturbative regime of quantum field theories with (near) IR conformal behaviour.

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“…The existence of IRFPs has been investigated in theories with fundamental fermions [14][15][16][17][18][19][20] and higher representations [21][22][23][24][25][26][27][28][29][30][31]. These preliminary studies have mapped out the space of bare lattice parameters and are starting to study the spectrum of the candidate theories, and the flow of renormalized couplings.…”

Section: Introductionmentioning

confidence: 99%

Sparameter in QCD from domain wall fermions

et al. 2010

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We have computed the SU (2) Low Energy Constant l 5 and the mass splitting between charged and neutral pions from a lattice QCD simulation of n f = 2 + 1 flavors of Domain Wall Fermions at a scale of a −1 = 2.33 GeV. Relating l 5 to the S parameter in QCD we obtain a value of S(m H = 120 GeV) = 0.42(7), in agreement with previous determinations. Our result can be compared with the value of S from electroweak precision data which constrains strongly interacting models of new physics like Technicolor. This work in QCD serves as a test for the methods to compute the S parameter with Domain Wall Fermions in theories beyond the Standard Model. We also infer a value for the pion mass splitting in agreement with experiment.

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Minimal walking on the lattice

Abstract: We provide the first evidence of a walking dynamics for two color lattice Yang-Mills theory with two Dirac flavors in the symmetric representation of the gauge group.

Cited by 218 publications

References 26 publications

The Conformal Window and Walking Technicolor

The Conformal Window and Walking Technicolor

Large mass hierarchies from strongly-coupled dynamics

Sparameter in QCD from domain wall fermions

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