Holography, Padé approximants and deconstruction

Falkowski, Adam; Pérez-Victoria, M.

doi:10.1088/1126-6708/2007/02/086

Cited by 13 publications

(20 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This was explicitly shown in the first global SMEFT analysis of LEP and other precision electroweak observables, assuming a U (3) 5 -invariant structure [455]. This analysis was recently extended to the flavor-general case [456][457][458].…”

Section: Lep and Other Electroweak Precision Measurementsmentioning

confidence: 80%

New physics searches in nuclear and neutron β decay

González–Alonso

Naviliat‐Cuncic

Severijns

2019

Progress in Particle and Nuclear Physics

246

282

View full text Add to dashboard Cite

The status of tests of the standard electroweak model and of searches for new physics in allowed nuclear β decay and neutron decay is reviewed including both theoretical and experimental developments. The sensitivity and complementarity of recent and ongoing experiments are discussed with emphasis on their potential to look for new physics. Measurements are interpreted using a model-independent effective field theory approach enabling to recast the outcome of the analysis in many specific new physics models. Special attention is given to the connection that this approach establishes with high-energy physics. A new global fit of available β-decay data is performed incorporating, for the first time in a consistent way, superallowed 0 + → 0 + transitions, neutron decay and nuclear decays. The constraints on exotic scalar and tensor couplings involving left-or right-handed neutrinos are determined while a constraint on the pseudoscalar coupling from neutron decay data is obtained for the first time as well. The values of the vector and axial-vector couplings, which are associated within the standard model to V ud and g A respectively, are also updated. The ratio between the axial and vector couplings obtained from the fit under standard model assumptions is C A /C V = −1.27510(66). The relevance of the various experimental inputs and error sources is critically discussed and the impact of ongoing measurements is studied. The complementarity of the obtained bounds with other low-and high-energy probes is presented including ongoing searches at the Large Hadron Collider.

show abstract

Section: Lep and Other Electroweak Precision Measurementsmentioning

confidence: 80%

New physics searches in nuclear and neutron β decay

González–Alonso

Naviliat‐Cuncic

Severijns

2019

Progress in Particle and Nuclear Physics

246

282

View full text Add to dashboard Cite

show abstract

“…We say that the Padé point is s = 0. The Padé approximants of Stieltjes functions can be written in terms of orthogonal polynomials (see [14] for a concise derivation and definitions):…”

Section: Padé Approximants Of Unparticle Propagatorsmentioning

confidence: 99%

“…The proof of the third property is less straightforward and we do not give it here, but refer again the interested reader to Ref. [14].…”

Section: Unparticle Vs Particle Signalsmentioning

confidence: 99%

Unparticle signals with a few particles

Pérez-Victoria¹

2009

J. High Energy Phys.

Self Cite

View full text Add to dashboard Cite

We use Padé approximants to systematically approximate scalar unparticle propagators and their associated phase factors by a finite number of ordinary particles. This is possible for conformal dimensions 1 ≤ d < 2, and also for d ≥ 2 if we add local terms. A small number of particles can, in some cases, mimic unparticle signals. We also discuss how the approximants capture basic unparticle properties.

show abstract

“…However, after the discussion of the last section, this statement cannot be right, as first pointed out in [7]. The reasons why both approaches yield the same results have been discussed in detail in [19]. Roughly speaking, it has to be attributed to three common ingredients, which are implemented in very different ways:…”

Section: Padé Approximants and The Gauge/string Dualitymentioning

confidence: 99%

Padé approximants and the prediction of non-perturbative parameters in particle physics

Catí

2010

Applied Numerical Mathematics

View full text Add to dashboard Cite

Commonly used techniques to study non-perturbative aspects of the strong interactions have a deep connection with rational approximants, and in particular with Padé approximants to meromorphic functions. However, only recently this connection has been acknowledged and efforts at fully exploiting it are only starting. In this article I will briefly review the most prominent techniques used in non-perturbative strong interactions with special emphasis on its relation with Padé approximants. I will then concentrate on a set of open problems outside the scope of these conventional techniques where Padé approximants might be extremely useful.

show abstract

Holography, Padé approximants and deconstruction

Cited by 13 publications

References 48 publications

New physics searches in nuclear and neutron β decay

New physics searches in nuclear and neutron β decay

Unparticle signals with a few particles

Padé approximants and the prediction of non-perturbative parameters in particle physics

Contact Info

Product

Resources

About