Recent progress in QCD condensate evaluations and sum rules

Gubler, Philipp; Satow, Daisuke

doi:10.1016/j.ppnp.2019.02.005

Cited by 86 publications

(39 citation statements)

References 399 publications

(744 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where m q Λ QCD 0.3 GeV denotes the constituent quark mass andρ 1/(0.6 GeV) is the average instanton size. Notice that for the quoted values of m q andρ one finds qq −(0.25 GeV) 3 in agreement with the standard value for the quark condensate [67,68,75].…”

Section: Ope Correlator Matching and Discussionsupporting

confidence: 82%

“…with qq −(0.25 GeV) 3 [67,68,75] the quark condensate. The effective operator O 6 can be perturbatively inserted into the quark propagator [40].…”

Section: Weinberg Contribution To the Quark Propagatormentioning

confidence: 99%

“…where the input values and errors of µ n , m p , g s and m 2 0 are taken from [67,68,70,75] and the strong coupling constant corresponds to a LO α s evaluated at a renormalisation scale of 1 GeV. We note that our choice M ∈ √ 2 [1,2] Λ QCD [0.42, 0.85] GeV covers the full range of Borel masses that has been considered in the related sum-rule calculations of the QCD θ-term and CEDM contributions to the nEDM [35,37,60,61].…”

Section: Dimension-six Contributionmentioning

confidence: 99%

See 2 more Smart Citations

Sum rules for CP-violating operators of Weinberg type

Haisch

Hala

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We estimate the size of the hadronic matrix elements of CP-violating three-gluon and four-gluon Weinberg operators using sum-rule techniques. In the three-gluon case, we are able to reproduce the expressions given in earlier works, while the four-gluon results obtained in this article are new. Our paper therefore represents the first systematic study of contributions to the electric dipole moment of the neutron due to CP-violating dimension-six and dimension-eight operators. We provide many details on both the derivation of the sum rules as well as the analysis of the uncertainties that plague our final predictions.Here G A µν is the QCD field strength tensor,G A µν = 1/2 µνρλ G A ρλ with 0123 = +1 denotes its dual, f ABC are the fully anti-symmetric structure constants of SU(3) and c ABCD denote the colour structures defined in (5.20). Lacking the expertise in LQCD as well as the needed computer resources, we will present estimates of the hadronic matrix elements of the operators in (1.1) using QCD sum-rule techniques. In the case of the dimension-six contribution O 6 such a calculation has already been performed in [40], but the latter publication does not provide details on the actual computation making an independent reevaluation worthwhile. Our determination of the hadronic matrix elements of the dimension-eight term O 8 is instead new. Both results will be used in a companion paper [59], where we derive model-independent bounds on CP-violating Higgs-gluon interactions in BSM scenarios with vanishing or highly suppressed light-quark Yukawa couplings.Our work is organised as follows. After briefly reviewing the basic idea behind the sum-rule determinations of the hadronic matrix elements of O 6 and O 8 , we discuss in Section 3 the phenomenological side of the sum rules. The operator product expansion (OPE) computation of the dimension-six and dimension-eight contributions is described in Section 4 and Section 5, respectively. The matching and the numerical analysis of the sum rules are performed in Section 6. We conclude in Section 7. Technical details are relegated to several appendices. General idea behind the sum rulesThe central object for the derivation of the sum-rule estimates for the hadronic matrix elements of operators of the type (1.1) is the following correlation function Π(q 2 ) = i d 4 x e iqx Ω T η(x)η(0) Ω EM,O k , (2.1)

show abstract

Section: Ope Correlator Matching and Discussionsupporting

confidence: 82%

“…with qq −(0.25 GeV) 3 [67,68,75] the quark condensate. The effective operator O 6 can be perturbatively inserted into the quark propagator [40].…”

Section: Weinberg Contribution To the Quark Propagatormentioning

confidence: 99%

Section: Dimension-six Contributionmentioning

confidence: 99%

See 1 more Smart Citation

Sum rules for CP-violating operators of Weinberg type

Haisch

Hala

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…The interest in the modification of the φ properties in dense matter started with the earlier predictions on the shift of the φ mass due to the famous Brown-Rho scaling [175]. Later on, the φ in matter was studied by means of QCD sum rules [176][177][178]. In these calculations, a correlator function matched to the φ spectral function is treated in the framework of the operator product expansion, which incorporates the short (perturbative contribution) and long-distance quark-gluon interactions (non-perturbative terms, such as quark condensates).…”

Section: Theory Of φ In Nuclear Mattermentioning

confidence: 99%

Strangeness in nuclei and neutron stars

Tolós

Fabbietti

2020

Progress in Particle and Nuclear Physics

163

View full text Add to dashboard Cite

We review the present status of the experimental and theoretical developments in the field of strangeness in nuclei and neutron stars. We start by discussing theKN interaction, that is governed by the presence of the Λ(1405). We continue by showing the two-pole nature of the Λ(1405), and the production mechanisms in photon-, pion-, kaon-induced reactions as well as proton-proton collisions, while discussing the formation ofKN N bound states. We then move to the theoretical and experimental analysis of the properties of kaons and antikaons in dense nuclear matter, paying a special attention to kaonic atoms and the analysis of strangeness creation and propagation in nuclear collisions. Next, we examine the φ meson and the advances in photoproduction, protoninduced and pion-induced reactions, so as to understand its properties in dense matter. Finally, we address the dynamics of hyperons with nucleons and nuclear matter, and the connection to the phases of dense matter with strangeness in the interior of neutron stars.

show abstract

“…For up-to-date values of the QCD condensates and their behavior at finite T, see the recent review of Ref. [8]. The IR limit is obtained from hydrodynamics as…”

Section: Derivation Of the Sum Rulesmentioning

confidence: 99%