On Higgs decays to hadrons and the R-ratio at N4LO

Herzog, Franz; Ruijl, Ben; Ueda, Takahiro; Vermaseren, J.A.M.; Vogt, A.

doi:10.1007/jhep08(2017)113

Cited by 135 publications

(253 citation statements)

References 89 publications

Supporting

Mentioning

246

Contrasting

Unclassified

Order By: Relevance

“…[48] after getting analytical four-loop SU(N c ) expressions for the D NS (a s )-function (confirmed recently by the independent calculation of ref. [49]) and for the C NS Bjp (a s )-function, and taking into account the explicit expression for the three-loop SU(N c ) RG β-function, computed in ref. [50] and confirmed in ref.…”

Section: Jhep02(2018)161mentioning

confidence: 99%

“…[70]. It is widely used in different QCDoriented studies [49,[93][94][95][96][97][98][99][100]. In this section we will use this mMOM-scheme in the SU(N c ) theory to find out the constraints imposed by its gauge-dependence on the conditions of existence of the fundamental property of the β-function factorization in the GCR.…”

Section: The Qed Generalized Crewther Relation In the Ms Mom And Os mentioning

confidence: 99%

See 1 more Smart Citation

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Garkusha

Kataev

Molokoedov

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

The problem of scheme and gauge dependence of the factorization property of the renormalization group β-function in the SU(N c ) QCD generalized Crewther relation (GCR), which connects the flavor non-singlet contributions to the Adler and Bjorken polarized sum rule functions, is investigated at the O(a 4 s ) level of perturbation theory. It is known that in the gauge-invariant renormalization MS-scheme this property holds in the QCD GCR at least at this order. To study whether this factorization property is true in all gauge-invariant schemes, we consider the MS-like schemes in QCD and the QED-limit of the GCR in the MS-scheme and in two other gauge-independent subtraction schemes, namely in the momentum MOM and the on-shell OS schemes. In these schemes we confirm the existence of the β-function factorization in the QCD and QED variants of the GCR. The problem of the possible β-factorization in the gauge-dependent renormalization schemes in QCD is studied. To investigate this problem we consider the gauge non-invariant mMOM and MOMgggg-schemes. We demonstrate that in the mMOM scheme at the O(a 3 s ) level the β-factorization is valid for three values of the gauge parameter ξ only, namely for ξ = −3, −1 and ξ = 0. In the O(a 4 s ) order of PT it remains valid only for case of the Landau gauge ξ = 0. The consideration of these two gauge-dependent schemes for the QCD GCR allows us to conclude that the factorization of RG β-function will always be implemented in any MOM-like renormalization schemes with linear covariant gauge at ξ = 0 and ξ = −3 at the O(a 3 s ) approximation. It is demonstrated that if factorization property for the MS-like 1 Affiliation from 2011 till 2015.Open Access, c The Authors. Article funded by SCOAP 3 .https://doi.org/10.1007/JHEP02(2018)161 JHEP02(2018)161schemes is true in all orders of PT, as theoretically indicated in the several works on the subject, then the factorization will also occur in the arbitrary MOM-like scheme in the Landau gauge in all orders of perturbation theory as well.

show abstract

Section: Jhep02(2018)161mentioning

confidence: 99%

Section: The Qed Generalized Crewther Relation In the Ms Mom And Os mentioning

confidence: 99%

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Garkusha

Kataev

Molokoedov

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…This is a singlet for N c = 2, so in the present discussion we restrict to (even) N c ≥ 4. We have 28) and…”

Section: Lnn Limitmentioning

confidence: 99%

“…In general, the calculation of the scheme-independent coefficient d j requires, as inputs, the b [27,28]. A detailed analysis of the region of convergence of the series expansions (1.2) and (2.33) in powers of ∆ f was given in [11][12][13], and we refer the reader to these references for a discussion of this analysis.…”

Section: β ′ Irmentioning

confidence: 99%

Infrared fixed point physics in SO(Nc) and Sp(
Ryttov
¹
,
Shrock
²

2017
Phys. Rev. D
35
7
46
0
View full text Add to dashboard Cite

We study properties of asymptotically free vectorial gauge theories with gauge groups G = SO(Nc) and G = Sp(Nc) and N f fermions in a representation R of G, at an infrared (IR) zero of the beta function, αIR, in the non-Abelian Coulomb phase. The fundamental, adjoint, and rank-2 symmetric and antisymmetric tensor fermion representations are considered. We present scheme-independent calculations of the anomalous dimensions of (gauge-invariant) fermion bilinear operators γψ ψ,IR to O(∆ 4 f ) and of the derivative of the beta function at αIR, denoted β ′ IR , to O(∆ 5 f ), where ∆ f is an N f -dependent expansion variable. It is shown that all coefficients in the expansion of γψ ψ,IR that we calculate are positive for all representations considered, so that to O(∆ 4 f ), γψ ψ,IR increases monotonically with decreasing N f in the non-Abelian Coulomb phase. Using this property, we give a new estimate of the lower end of this phase for some specific realizations of these theories.

show abstract

“…Perturbative corrections have then been pushed to two-loop [3,4], three-loop [5,6] and four-loop [7,8] level. Five-loop results have appeared over the last ten years or so, first for the case of Quantum Electrodynamics (QED) [9,10,11], then for physical QCD with gauge group SU(3) [12,13], and finally for a generalization of QCD to arbitrary simple gauge (Lie) groups [14,15,18,19].…”

Section: Introductionmentioning

confidence: 99%

Anomalous dimensions at five loops

Luthe¹,

Maier²,

Marquard³

et al. 2018

Proceedings of 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

View full text Add to dashboard Cite

show abstract

On Higgs decays to hadrons and the R-ratio at N4LO

Cited by 135 publications

References 89 publications

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Infrared fixed point physics in SO(Nc) and Sp(
Ryttov
¹
,
Shrock
²

2017
Phys. Rev. D
35
7
46
0
View full text Add to dashboard Cite

Anomalous dimensions at five loops

Contact Info

Product

Resources

About

On Higgs decays to hadrons and the R-ratio at N4LO

Cited by 135 publications

References 89 publications

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Infrared fixed point physics in SO(Nc) and Sp(Ryttov1, Shrock2 2017Phys. Rev. D357460View full textAdd to dashboardCite

Anomalous dimensions at five loops

Contact Info

Product

Resources

About

Infrared fixed point physics in SO(Nc) and Sp(
Ryttov
¹
,
Shrock
²

2017
Phys. Rev. D
35
7
46
0
View full text Add to dashboard Cite