QCD Running in Lepton Number Violating Meson and Tau Decays

Abstract

Below the electroweak scale, new physics that violates lepton number in two units ($\Delta L=2$) and is mediated by heavy particle exchange can be parameterized by a dimension-9 low-energy effective Lagrangian. Operators in this Lagrangian involving first-generation quarks and leptons contribute to the short-range mechanism of neutrinoless double beta decay ($0\nu \beta \beta$) and therefore they are strongly constrained. On the other hand, operators with other quark and lepton families are bounded by the non-observation of different lepton number violating (LNV) meson and tau decays, such as $M_1^{-}\to M_2^{+}{\ell }_1^{-}{\ell }_2^{-}$ and ${\tau }^{-}\to {\ell }^{+}{M}_1^{-}{M}_2^{-}$. In this work, we calculate RGE-improved bounds on the Wilson coefficients involved in these decays. We calculate QCD corrections to the dimension-9 operator basis and find RG evolution matrices that describe the evolution of the Wilson coefficients across different energy scales. Unlike the running of operators involved in $0\nu \beta \beta$-decay, the general flavor structure leads to the mixing of not only different Lorentz structures but also of different quark-flavor configurations. Additionally, operators that vanish for the identical lepton case need to be added to the operator basis. We find new constraints on previously unbounded operators and the enhancement of bounds for specific Wilson coefficients. We also find new bounds coming from the mixing between operators with different quark-flavor configurations.

arXiv comment28 pages, 2 figures, 14 tables; v3: matches published version

References in corpus (51)

• Weak Decays Beyond Leading Logarithms
• Neutrino-less Double Beta Decay and Particle Physics
• Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen
• Neutrinoless Double Beta Decay and Physics Beyond the Standard Model
• A Survey of Lepton Number Violation Via Effective Operators
• A superformula for neutrinoless double beta decay II: The short range part
• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• You can hide but you have to run: direct detection with vector mediators
• Searches for Rare or Forbidden Semileptonic Charm Decays
• Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays
• Searches for Majorana neutrinos in B- decays
• Systematic decomposition of the neutrinoless double beta decay operator
• Sensitivity of Lepton Number Violating Meson Decays in Different Experiments
• Search for Lepton-Flavor-Violating and Lepton-Number-Violating tau to lhh' Decay Modes
• Short-range mechanisms of neutrinoless double beta decay at the LHC
• Lepton number violation in top quark and neutral B meson decays
• Search for the lepton number violating decays $B^{+}\to {\pi }^{-}{\mu }^{+}{\mu }^{+}$ and $B^{+}\to K^{-}{\mu }^{+}{\mu }^{+}$
• Neutrinoless double beta decay and lepton number violation at the LHC
• Searches for lepton number violating $K^{+}$ decays
• Search for Lepton-number-violating B+->D-l+l'+ Decays
• TeV Lepton Number Violation: From Neutrinoless Double Beta Decay to the LHC
• Lepton number violating four-body tau lepton decays
• Probing Lepton-number/flavour-violation in Semileptonic Tau Decays into Two Mesons
• Probing lepton number violating interactions in rare kaon decays
• Search for lepton-number violating processes in B+ -> h- l+ l+ decays
• Search for lepton-number violating B+ -> X- l+ l'+ decays
• QCD running in neutrinoless double beta decay: Short-range mechanisms
• Effective field theory approach to lepton number violating decays $K^{\pm }\to {\pi }^{\mp }{l}^{\pm }{l}^{\pm }$: short-distance contribution
• Search for lepton number and flavour violation in $K^{+}$ and ${\pi }^0$ decays
• On Lepton-Number-Violating Searches for Muon to Positron Conversion
• Sensitivity limits on heavy-light mixing $|U_{\mu N}{|}^2$ from lepton number violating $B$ meson decays
• Constraining Right Handed Gauge Boson Mass from Lepton Number Violating Meson Decays in a Low Scale Left Right Model
• Renormalization Group Effects in Dark Matter Interactions
• LHC and B physics probes of neutrinoless double beta decay in supersymmetry without R-parity
• Lepton number violation in $B_s$ meson decays induced by an on-shell Majorana neutrino
• Searches for lepton number violating $K^{+}\to {\pi }^{-}({\pi }^0)e^{+}{e}^{+}$ decays
• QCD-improved limits from neutrinoless double beta decay
• Majorana Neutrino Masses from Neutrinoless Double-Beta Decays and Lepton-Number-Violating Meson Decays
• Search for Lepton Flavor and Lepton Number Violating tau Decays into a Lepton and Two Charged Mesons
• Neutrinoless double beta decay and QCD corrections
• QCD Corrections and Long-Range Mechanisms of neutrinoless double beta decay
• The (muon^-,muon^+) conversion in nuclei as a probe of new physics
• Constraints on lepton number violating short-range interactions from $|\Delta L|=2$ processes
• Testing the nature of neutrinos from four-body $\tau$ decays
• Effective field theory approach to lepton number violating $\tau$ decays
• Four-body decays of $B$ meson with lepton number violation
• Future Experimental Improvement for the Search of LNV Process in $e\mu$ Sector
• Neutrinoless double beta decay and QCD running at low energy scales
• Interference effect in lepton number violating and conserving meson decays for a left-right symmetric model
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• RGE effects on the LFV scale from meson decays