Theory summary

Nason, Paolo

doi:10.22323/1.257.0056

Cited by 11 publications

(14 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…s : we take the present [24] world average experimental value of the strong coupling constant at m Z , α • for the top pole mass, m t : we take the present combined Tevatron and LHC value of the MC top mass, m M C t = (173.34 ± 0.76) GeV [26]; the uncertainty in the identification between the pole and MC top mass is currently estimated to be of order 200 MeV [27,28] (or even 1 GeV for the most conservative groups [29]).…”

Section: Matching and Runningmentioning

confidence: 99%

Ruling out critical Higgs inflation?

Masina

2018

Phys. Rev. D

View full text Add to dashboard Cite

We consider critical Higgs inflation, namely Higgs inflation with a rising inflection point at smaller field values than those of the plateau induced by the non-minimal coupling to gravity. It has been proposed that such configuration is compatible with the present CMB observational constraints on inflation, and also with primordial black hole production accounting for the totality or a fraction of the observed dark matter. We study the model taking into account the NNLO corrections to the Higgs effective potential: such corrections are extremely important to reduce the theoretical error associated to the calculation. We find that, in the 3 σ window for the relevant low energy parameters, which are the strong coupling and the Higgs mass (the top mass follows by requiring an inflection point), the potential at the inflection point is so large (and so is the Hubble constant during inflation) that the present bound on the tensor-to-scalar ratio is violated. The model is viable only allowing the strong coupling to take its upper 3 − 4 σ value. In our opinion, this tension shows that the model of critical Higgs inflation is likely to be not viable: neither inflation nor black holes as dark matter can be originated in this version of the model.

show abstract

Section: Matching and Runningmentioning

confidence: 99%

Ruling out critical Higgs inflation?

Masina

2018

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…As a consequence it can be expected that the on-shell value for the top quark can be determined with a relatively small uncertainty. This aspect has been studied in detail in recent papers [1,2]. It has been shown that the on-shell top quark can be computed from the MS mass with an irreducible uncertainty of about 70 MeV [2].…”

Section: Introductionmentioning

confidence: 99%

“…Among the most prominent ones are the potential subtracted (PS) [4], 1S [5][6][7], renormalon subtracted (RS) [8] and the kinetic mass [9]. 1 They allow for a precise determination of the heavy MS mass without explicit reference to the pole quark mass. However, at intermediate stages the pole mass and, in particular, the relation between the pole and the MS mass is still needed.…”

Section: Introductionmentioning

confidence: 99%

MS¯ -on-shell quark mass relation up to four loops in QCD and a general SU(N)<

et al. 2016

View full text Add to dashboard Cite

We compute the relation between heavy quark masses defined in the modified minimal subtraction and the on-shell schemes. Detailed results are presented for all coefficients of the SU(N c ) colour factors. The reduction of the four-loop onshell integrals is performed for a general QCD gauge parameter. Altogether there are about 380 master integrals. Some of them are computed analytically, others with high numerical precision using Mellin-Barnes representations, and the rest numerically with the help of FIESTA. We discuss in detail the precise numerical evaluation of the four-loop master integrals. Updated relations between various short-distance masses and the MS quark mass to next-to-next-to-next-to-leading order accuracy are provided for the charm, bottom and top quarks. We discuss the dependence on the renormalization and factorization scale.

show abstract

“…In ref. [41] it was noticed that the third and fourth known terms of the mass conversion formula (28) already show the renormalon asymptotic behaviour, and this can be used to infer higher order terms in the top pole mass relation. This was used in ref.…”

Section: The Full Storymentioning

confidence: 99%

“…Yet again, the observation of ref [41]. was made much earlier in a bottom physics context, and fits to extract the value of N were performed even before the fourth order term was known, see refs [31,42]…”

mentioning

confidence: 99%