TAU 98 conference summary

Weinstein, A. J.

doi:10.1016/s0920-5632(99)00512-5

Cited by 4 publications

(3 citation statements)

References 25 publications

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“…( 16) on the other hand. For our calculation we take as input the TAU'98 conference value: R τ = 3.642 ± 0.019 [25], which is consistent with the PDG'98 fit R τ = 3.642 ± 0.024 [20]. In Table I we present NNLO results obtained by the methods mentioned above for the central experimental value in the MS scheme.…”

Section: Apt: Convergence Properties and Rs Dependencementioning

confidence: 70%

Renormalization scheme and higher loop stability in hadronic $\tau$ decay within analytic perturbation theory

et al. 2000

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We apply an analytic description to the inclusive decay of the τ lepton. We argue that this method gives not only a self-consistent description of the process both in the timelike region by using the initial expression for R τ and in the spacelike domain by using the analytic properties of the hadronic correlator, but also leads to the fact that theoretical uncertainties associated with unknown higher-loop contributions and renormalization scheme dependence can be reduced dramatically.

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Section: Apt: Convergence Properties and Rs Dependencementioning

confidence: 70%

Renormalization scheme and higher loop stability in hadronic $\tau$ decay within analytic perturbation theory

et al. 2000

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“…Here, the theoretical expression for an observed quantity, the time-life of τ lepton, contains QCD correction ∆ expressed via an integral of an s-channel matrix element over the region 0 < s < M 2 τ . As a result of the three-loop analysis of a modern [44] experimental value ∆ exp (s 0 = 3.16 2 ) = 0.191 , it was obtained that α(M 2 τ ) = 0.380 . Remind here that under usual treatment one obtains ᾱs (M 2 τ ) = 0.334 that can hardly be related to any ᾱs (M 2 τ ) value as far as the parameter π 2 / ln 2 (M 2 τ /Λ 2 ) is close to unity.…”

Section: The S-channelmentioning

confidence: 98%

Analytic perturbation theory in analyzing some QCD observables

Shirkov¹

2001

Eur. Phys. J. C

113

183

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The connection between ghost-free formulations of RG-invariant perturbation theory in the both Euclidean and Minkowskian regions is investigated. Our basic tool is the "double spectral representation", similar to the definition of Adler function, that stems from first principles of local QFT. It relates real functions defined in the Euclidean and Minkowskian regions.On this base we establish a simple relation between -The trick of resummation of the π 2 -terms (known from early 80s) for the invariant QCD coupling and observables in the time-like region and -Invariant Analytic Approach (devised a few years ago) with the "analyticized" coupling α an (Q 2 ) and nonpower perturbative expansion for observables in the space-like domain which are free of unphysical singularities .As a result, we formulate a self-consistent scheme -Analytic Perturbation Theory (APT) -that relates a renorm-invariant, effective coupling functions α an (Q 2 ) andα(s) , as well as non-power perturbation expansions for observables in both space-and time-like domains, that are free of extra singularities and obey better convergence in the infrared region.Then we consider the issue of the heavy quark thresholds and devise a global APT scheme for the data analysis in the whole accessible space-like and time-like domain with various numbers of active quarks.Preliminary estimates indicate that this global scheme produces results a bit different, sometimes even in the five-flavour region, on a few per cent level forᾱ s -from the usual one, thus influencing the total picture of the QCD parameter correlation.

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“…In our analysis at √ s = 14 TeV, we have presented the points which can be discovered with an integrated luminosity of 300 f b −1 . However, another way to probe the interaction (1) is to extend our analysis by considering a maximally LFV process like the process pp → e ± µ ± τ ∓ + / E T , where the tau lepton can be identified through its hadronic decay [29] rather than its leptonic one in order to avoid an additional source of missing energy. In addition to the case of √ s = 14 TeV, we consider also the very high energy such as at the HL-LHC √ s = 100 TeV.…”

Section: Processmentioning

confidence: 99%

Probing radiative neutrino mass models using trilepton channel at the LHC

et al. 2016

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In this work, we probe a class of neutrino mass models through the lepton flavor violating interactions of a singlet charged scalar, S ± at the LHC proton-proton collisions with 8 TeV and 14 TeV energies. This scalar couples to the leptons and induces many processes such as pp → ± ± ∓ + / E T . In our analysis we discuss the opposite sign same flavor leptons signal, as well as the background free channel with the tau contribution which can enhance the signal/background ratio for center of mass energies √ s= 8 TeV and √ s = 14 TeV.

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TAU 98 conference summary

Cited by 4 publications

References 25 publications

Renormalization scheme and higher loop stability in hadronic $\tau$ decay within analytic perturbation theory

Renormalization scheme and higher loop stability in hadronic $\tau$ decay within analytic perturbation theory

Analytic perturbation theory in analyzing some QCD observables

Probing radiative neutrino mass models using trilepton channel at the LHC

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