Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales

Abstract

We evaluate QCD effects in the neutrinoless double beta ($0\nu \beta \beta$) decay, originating from new physics short-range mechanism in the form of five dimension-9 operators. For this, we employ the one-loop and two-loop renormalization group equations (RGEs) for the corresponding Wilson coefficients, performing the RGE-evolution from the new physics scales (estimated as $\Lambda \sim 10^2$ GeV) to the typical spacelike $0\nu \beta \beta$-scale $Q\sim 0.1$ GeV. Since the latter scale is clearly nonperturbative, we apply various infrared-safe (IR-safe) variants of QCD where the running coupling has no Landau singularities at low spacelike $Q$. We point out that the correct treatment of the IR-safe analogs of the (noninteger) powers of the couplings is important. It turns out that in most cases of the considered operators the resulting QCD effects can be significant in this process, i.e., can be stronger than the effects of the present uncertainties in the nuclear matrix elements.

arXiv comment34 pages, 11 figures. v3: discussions added, principally in the new Sec. VI; results unchanged; version published in Phys. Rev. D; App.B is based partly on App.B of arXiv:1812.01580

References in corpus (98)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Two-Loop QCD Anomalous Dimensions of Flavour-Changing Four-Quark Operators Within and Beyond the Standard Model
• The QCD Running Coupling
• Neutrinoless Double Beta Decay and Physics Beyond the Standard Model
• Nonperturbative QCD Coupling and its $\beta$ function from Light-Front Holography
• Non-perturbative comparison of QCD effective charges
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• A new leading contribution to neutrinoless double-beta decay
• Matching Long and Short Distances in Large-Nc QCD
• Dilaton in a soft-wall holographic approach to mesons and baryons
• Process-independent strong running coupling
• A neutrinoless double beta decay master formula from effective field theory
• On the running coupling constant in QCD
• Neutrinoless double-beta decay and effective field theory
• The strong coupling and its running to four loops in a minimal MOM scheme
• A superformula for neutrinoless double beta decay II: The short range part
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density
• Analytic Perturbation Theory in analyzing some QCD observables
• Ten years of the Analytic Perturbation Theory in QCD
• Analytic Invariant Charge in QCD
• Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
• Analytic Perturbation Theory and Inclusive Tau Decay
• Quark-antiquark potential in the analytic approach to QCD
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Bound state approach to the QCD coupling at low energy scales
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• The Adler Function for Light Quarks in Analytic Perturbation Theory
• Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
• Heavy physics contributions to neutrinoless double beta decay from QCD
• The massive analytic invariant charge in QCD
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Analytic Approach to Perturbative QCD and Renormalization Scheme Dependence
• Power-law running of the effective gluon mass
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Systematic decomposition of the neutrinoless double beta decay operator
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• QCD coupling below 1 GeV from quarkonium spectrum
• The strong running coupling at $\tau$ and $Z_0$ mass scales from lattice QCD
• New analytic running coupling in spacelike and timelike regions
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Nucleon spin structure and pQCD frontier on the move
• The strong coupling constant at small momentum as an instanton detector
• Four-loop QCD analysis of the Bjorken sum rule vs data
• Short-Range Neutrinoless Double Beta Decay Mechanisms
• An approach for evaluation of observables in analytic versions of QCD
• Analytic Structure of Amplitudes in Gauge Theories with Confinement
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Ghost-gluon coupling, power corrections and ${\Lambda }_{\overline{\mathrm{MS}}}$ from lattice QCD with a dynamical charm
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Analogs of noninteger powers in general analytic QCD
• The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• QCD Power Corrections from a Simple Model for the Running Coupling
• Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
• On the Interface between Perturbative and Nonperturbative QCD
• An electroweak basis for neutrinoless double $\beta$ decay
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Small parameters in infrared quantum chromodynamics
• A novel integral representation for the Adler function
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Nucleon spin structure at low momentum transfers
• anQCD: a Mathematica package for calculations in general analytic QCD models
• "Massive" Perturbative QCD, regular in the IR limit
• Large-Nc QCD and Pade Approximant Theory
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Modified instanton profile effects from lattice Green functions
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• QCD effective charge and the structure function $F_2$ at small-$x$
• QCD running in neutrinoless double beta decay: Short-range mechanisms
• Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC
• Hadronic vacuum polarization function within dispersive approach to QCD
• Renormalon-motivated evaluation of QCD observables
• Synthetic Running Coupling of QCD
• Effective field theory approach to lepton number violating decays $K^{\pm }\to {\pi }^{\mp }{l}^{\pm }{l}^{\pm }$: short-distance contribution
• Testing the Concept of Quark-Hadron Duality with the ALEPH $\tau$ Decay Data
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• The QCD analysis of the combined set for the F_3 structure function data based on the analytic approach
• Gluon Propagator in Fractional Analytic Perturbation Theory
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• How to perform QCD analysis of DIS in Analytic Perturbation Theory
• An Invariant Charge Model for All q^2>0 in QCD and Gluon Condensate
• Calculation of the non-perturbative strong coupling from first principles
• Non-perturbative QCD effects in forward scattering at LHC
• Neutrinoless double beta decay and QCD corrections
• Neutrinoless double beta decay and QCD running at low energy scales
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Gauge-variant propagators and the running coupling from lattice QCD
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• The QCD analysis of xF_3 structure function based on the analytic approach
• Energy-dependent dipole form factor in a QCD-inspired model
• Charged Higgs contribution to $0\nu 2\beta$ decay
• Elimination of the Landau pole in QCD with the spontaneously generated anomalous three-gluon interaction

Cited by in corpus (7)

• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Neutrinoless Double-Electron Capture
• Neutrinoless Double Beta Decay via Light Neutralinos in R-Parity Violating Supersymmetry
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• QCD Running in Lepton Number Violating Meson and Tau Decays
• $\rho$ exchange contribution to neutrinoless double beta decay