Renormalization group invariants and sum rules in the deflected mirage mediation supersymmetry breaking

We study two versions of lightcone sum rules to calculate the γ*γ → π0 transition form factor (TFF) within QCD. While the standard version is based on fixed-order perturbation theory by means of a power-series expansion in the strong coupling, the new method incorporates radiative corrections by renormalization-group summation and generates an expansion within a generalized fractional analytic perturbation theory involving only analytic couplings. Using this scheme, we determine the relative nonperturbative parameters and the first two Gegenbauer coefficients of the pion distribution amplitude (DA) to obtain TFF predictions in good agreement with the preliminary BESIII data, while the best-fit pion DA satisfies the most recent lattice constraints on the second moment of the pion DA at the three-loop level.

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In the Vicinity of the Critical Points

Statistical Field Theory ◽

10.1093/oso/9780198788102.003.0015 ◽

2020 ◽

pp. 545-574

Author(s):

Giuseppe Mussardo

Keyword(s):

Renormalization Group ◽

Critical Points ◽

Sum Rules ◽

Perturbative Series ◽

Lee Model ◽

Critical Theories ◽

Critical Action ◽

Structure Constants ◽

Scaling Region ◽

Renormalization Group Flows

Chapter 15 introduces the notion of the scaling region near the critical points, identified by the deformations of the critical action by means of the relevant operators. The renormalization group flows that originate from these deformations are subjected to important constraints, which can be expressed in terms of sum-rules. This chapter also discusses the nature of the perturbative series based on the conformal theories. Further, it describes how the analysis of the off-critical theories poses a series of interesting questions, and also covers ultraviolet divergences, structure constants, the two-point function of the Yang–Lee model, the RG and β‎-functions and the c-theorem.

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ON PERTURBATIVE CALCULABILITY OF THE COEFFICIENT FUNCTIONS OF CONDENSATES IN THE QCD SUM RULES

Modern Physics Letters A ◽

10.1142/s0217732389000897 ◽

1989 ◽

Vol 04 (08) ◽

pp. 765-773 ◽

Cited By ~ 5

Author(s):

L.R. SURGULADZE ◽

F.V. TKACHOV

Keyword(s):

Perturbation Theory ◽

Renormalization Group ◽

Sum Rules ◽

Group Analysis ◽

Coefficient Function ◽

Qcd Sum Rules ◽

Renormalization Group Analysis ◽

Light Mesons ◽

Pseudo Scalar

We calculate two-loop corrections to the coefficient functions of the condensates 〈G2〉0 and [Formula: see text] in the QCD sum rules for the light mesons in the vector, scalar and pseudoscalar channels, and three-loop corrections to the coefficient function of the condensate 〈G2〉0 in the (pseudo)scalar channel. We find that a renormalization-group analysis casts strong doubts on the feasibility of obtaining correct estimates for the coefficient functions via perturbation theory.

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Sum rules for leptons

International Journal of Modern Physics A ◽

10.1142/s0217751x16300210 ◽

2016 ◽

Vol 31 (17) ◽

pp. 1630021 ◽

Cited By ~ 1

Author(s):

Martin Spinrath

Keyword(s):

Renormalization Group ◽

Symmetry Breaking ◽

Wide Class ◽

Sum Rules ◽

The Other ◽

Neutrino Masses ◽

Mixing Angles ◽

The One ◽

Dynamical Description ◽

The Impact

There is a wide class of models which give a dynamical description of the origin of flavor in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing angles and the Dirac CP phase with each other and/or on the other hand neutrino masses and Majorana phases with each other. We will briefly sketch how this happens and discuss briefly the impact of renormalization group corrections to the mass sum rules.

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