The model dependence of $m_\varrho / f_\pi$

Nógrádi, Dániel; Szikszai, Lorinc

doi:10.22323/1.363.0237

Cited by 9 publications

(10 citation statements)

References 16 publications

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“…This is consistent with the result of Ref. [ 131 ], where the authors summarized the dependence on the gauge group and fermionic representation of the same quantity using all existing lattice data [ 80 , 132 – 138 ]. They pointed out that it is almost constant up to a trivial factor that depends on the dimensionality of the fermion fields – for .…”

Section: Hadronic Quantities At Largesupporting

confidence: 91%

The large $$N_{c}$$ limit of QCD on the lattice

Hernández

Romero-López

2021

Eur. Phys. J. A

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We review recent progress in the study of the large limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of corrections for values of . Some concrete examples of the topics we include are tests of large- factorization, the topological susceptibility, the glueball, meson and baryon spectra, the chiral dependence of masses and decay constants, and weak matrix elements related to the rule in kaon decays.

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Section: Hadronic Quantities At Largesupporting

confidence: 91%

The large $$N_{c}$$ limit of QCD on the lattice

Hernández

Romero-López

2021

Eur. Phys. J. A

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“…inherent in these types of models, would not select the flavor number. The measured vector mass would rather place constraints on the gauge group [49].…”

Section: Jhep07(2021)202mentioning

confidence: 99%

More on the flavor dependence of mϱ/fπ

Kotov

Nógrádi

Szabó

et al. 2021

J. High Energ. Phys.

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In previous work, [arXiv:1905.01909], we have calculated the mϱ/fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to Nf = 2, 3, 4, 5, 6 fermions in the fundamental representation. The main result was that this ratio displays no statistically significant Nf-dependence. In the present work we continue the study of the Nf-dependence by extending the simulations to Nf = 7, 8, 9, 10. Along the way we also study in detail the Nf-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.

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“…Note furthermore that using our previous calculation with an unimproved action [26], and using the value of m V and F PS extrapolated to the chiral and continuum limit, we found g KSRF VPP = 13.1(2.2). The value g KSRF VPP = 15.6(4) used in [34] is from an update analysis including more gauge ensembles [55]. Our calculation therefore suggests that the KSRF relation overestimates the value of the coupling g VPP for SU(2) gauge theory with two fundamental flavors of Dirac fermions and that the control of systematics must be improved in order to clarify the overal picture as a function of the number of flavours.…”

Section: Comparison Of the Coupling G Vpp With The Ksrf Relationmentioning

confidence: 82%

“…It was employed for QCD-like theories based on SU(3) [34,35] as well as various groups SU and Sp [35][36][37][38][39]. We refer to [34] for a discussion of the estimation of g KSRF VPP for a number of gauge theories. This relation turns out to be satisfied in QCD but has however never been rigorously tested beyond before this work.…”

Section: Jhep04(2021)117mentioning

confidence: 99%

Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice

Drach

Janowski

Pica

et al. 2021

J. High Energ. Phys.

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We calculate the coupling between a vector resonance and two Goldstone bosons in SU(2) gauge theory with Nf = 2 Dirac fermions in the fundamental representation. The considered theory can be used to construct a minimal Composite Higgs models. The coupling is related to the width of the vector resonance and we determine it by simulating the scattering of two Goldstone bosons where the resonance is produced. The resulting coupling is gVPP = 7.8 ± 0.6, not far from gρππ ≃ 6 in QCD. This is the first lattice calculation of the resonance properties for a minimal UV completion. This coupling controls the production cross section of the lightest expected resonance at the LHC and enters into other tests of the Standard Model, from Vector Boson Fusion to electroweak precision tests. Our prediction is crucial to constrain the model using lattice input and for understanding the behavior of the vector meson production cross section as a function of the underlying gauge theory. We also extract the coupling $$ {g}_{\mathrm{VPP}}^{\mathrm{KSRF}} $$ g VPP KSRF = 9.4 ± 0.6 assuming the vector-dominance and find that this phenomenological estimate slightly overestimates the value of the coupling.

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The model dependence of $m_\varrho / f_\pi$

Cited by 9 publications

References 16 publications

The large $$N_{c}$$ limit of QCD on the lattice

The large $$N_{c}$$ limit of QCD on the lattice

More on the flavor dependence of mϱ/fπ

Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice

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