Towards top-down holographic composite Higgs: minimal coset from maximal supergravity

Elander, Daniel; Piai, Maurizio

doi:10.1007/jhep03(2022)049

Cited by 13 publications

(10 citation statements)

References 194 publications

(285 reference statements)

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“…It is of general interest to identify other observables that characterise the long-distance behaviour of Yang-Mills theories, for all choices of group G. By doing so, one can relate lattice results to alternative approaches based on the large-N c expansion. A resurgence of interest in the latter, motivated by gauge-gravity dualities [1][2][3][4], led to much effort being focused on the glueballs, as the results of lattice calculations of their spectra [5][6][7][8][9][10][11][12][13][14][15][16][17] can be compared to those of gravity calculations [18][19][20][21][22][23][24][25][26][27]-or other semi-analytical calculations [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Color dependence of the topological susceptibility in Yang-Mills theories

Bennett¹,

Hong²,

Lee³

et al. 2022

Preprint

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For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU (Nc) and Sp(Nc) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-Nc limit.

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Section: Introductionmentioning

confidence: 99%

Color dependence of the topological susceptibility in Yang-Mills theories

Bennett¹,

Hong²,

Lee³

et al. 2022

Preprint

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“…Taking inspiration from top-down models such as [31], in which extended objects (D-branes) that probe the background geometry are responsible for symmetry breaking, recently bottom-up models have been constructed and both their bosonic and fermionic spectra have been computed in [38,39]. While composite Higgs models have also been studied within the fully top-down approach to holography [40], so far the fermionic spectrum has not been computed, nor has partial compositeness been implemented.…”

Section: Jhep05(2022)066 1 Introductionmentioning

confidence: 99%

Holographic models of composite Higgs in the Veneziano limit. Part II. Fermionic sector

Elander

Frigerio

Knecht

et al. 2022

J. High Energ. Phys.

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We continue our study of strongly-coupled, approximately scale-invariant gauge theories with a large number of flavours, which provide a suitable ultraviolet completion of the composite-Higgs scenario. We identify the requisite operators to realise partial compositeness of the Standard-Model fermions. In order to compute the spectrum of composite fermionic states, we extend the bottom-up holographic models, which we previously introduced to capture the main features of the non-perturbative dynamics in the Veneziano limit, by adding fermion fields in the bulk. We identify regions in parameter space where some fermionic bound states become light, depending in particular on the number of flavours, the operator scaling dimensions, and the bulk Yukawa couplings. We also observe a dense spectrum of states, when multi-scale dynamics is induced by a large backreaction of bulk scalars on the geometry. Adapting the formalism of the holographic Wilsonian renormalisation group, we study the linear coupling between the composite and elementary fermions, as a function of energy scale. We find that, in some circumstances, the associated operators are dangerously irrelevant: the renormalisation-group flow gives rise to a large linear coupling in the infrared, even when it is irrelevant from the point of view of the ultraviolet fixed point. We finally compute the partially composite spectrum, correlate it with the analysis of the flow, and assess the potential phenomenological implications, e.g. for the top-quark partners.

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“…But it is very challenging to embed within string theory and supergravity fully realistic dynamical models yielding the low-energy theories relevant to CHMs. A few steps towards a top-down construction for CHMs with SO(5)/SO(4) coset have been taken recently [107]. A more general, pragmatic, bottom-up approach to holography exists, in which the gravity dual is constructed classically, on the basis of ad hoc simplifying assumptions.…”

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confidence: 99%

“…[120] focuses on identifying regions of parameter space relevant to understanding the physics of the dilaton, the approximate Goldstone boson associated with scale invariance, along the programmatic lines developed in Refs. [121][122][123][124][125][126], 1 in this publication and in future ones [131,132] we are interested in investigating whether the PNGB states associated with the SO(5)/SO (4) coset have model-building potential in the CHM context.…”

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confidence: 99%

“…The approximate, global symmetry breaking pattern SO(5) → SO(4) emerges in the dual field theory. Despite our interest in CHMs, here we describe the theory in isolation, and we do not couple it to external, weakly-coupled, elementary fields, deferring the actual construction of CHMs to future publications [131,132]. While in the stable region of parameter space, none of the composite states can be made parametrically light, interestingly we find that there exists a metastable region, in which the spectrum contains parametrically light PNGBs, accompanied by a light pseudo-dilaton.…”

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Towards composite Higgs: minimal coset from a regular bottom-up holographic model

Elander¹,

Fatemiabhari²,

Piai³

2023

Preprint

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We study a bottom-up, holographic description of a field theory yielding the spontaneous breaking of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, sixdimensional gravity dual has regular geometry. One of the dimensions is compactified on a circle that shrinks smoothly to zero size at a finite value of the holographic direction, hence introducing a physical scale in a way that mimics the effect of confinement in the dual four-dimensional field theory. We study the spectrum of small fluctuations of the bulk fields carrying SO(5) quantum numbers, which can be interpreted as spin-0 and spin-1 bound states in the dual field theory. This work supplements an earlier publication, focused only on the SO(5) singlet states. We explore the parameter space of the theory, paying particular attention to composite states that have the right quantum numbers to be identified as pseudo-Nambu-Goldstone Bosons (PNGBs).We find that in this model the PNGBs are generally heavy, with masses of the same order as other bound states, indicating the presence of a sizeable amount of explicit symmetry breaking in the field theory side. But we also find a qualitatively new, unexpected result. When the dimension of the field-theory operator inducing SO(5) breaking is close to half of the space-time dimensionality, there exists a region of parameter space in which the PNGBs and the lightest scalar are both parametrically light in comparison to all other bound states of the field theory. Although this region is known to yield metastable classical backgrounds, this finding might be relevant to model building in the composite Higgs context.

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Towards top-down holographic composite Higgs: minimal coset from maximal supergravity

Cited by 13 publications

References 194 publications

Color dependence of the topological susceptibility in Yang-Mills theories

Color dependence of the topological susceptibility in Yang-Mills theories

Holographic models of composite Higgs in the Veneziano limit. Part II. Fermionic sector

Towards composite Higgs: minimal coset from a regular bottom-up holographic model

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