Prospects for new physics in $\tau \to l\mu \mu$ at current and future colliders

Abstract

The discovery of lepton flavour violating interactions will be striking evidence for physics beyond the Standard Model. Focusing on the three decays ${\tau }^{\mp }\to {\mu }^{\pm }{\mu }^{\mp }{\mu }^{\mp }$, ${\tau }^{\mp }\to e^{\pm }{\mu }^{\mp }{\mu }^{\mp }$ and ${\tau }^{\mp }\to e^{\mp }{\mu }^{\mp }{\mu }^{\pm }$, we evaluate the discovery potential of current and future high-energy colliders to probe lepton flavour violation in the $\tau$ sector. Based on this potential we determine the expected constraints on parameters of new physics in the context of the Type-II Seesaw Model, the Left-Right Symmetric Model, and the Minimal Supersymmetric Standard Model. The existing and ongoing 13 TeV run of the Large Hadron Collider has the potential to produce constraints that outperform the existing $e^{+}{e}^{-}$ collider limits for the ${\tau }^{\mp }\to {\mu }^{\pm }{\mu }^{\mp }{\mu }^{\mp }$ decay and achieve a branching fraction limit of $\lesssim 10^{-8}$. With a future circular $e^{+}{e}^{-}$ collider, constraints on the $\tau \to l\mu \mu$ branching fractions could reach as low as a few times $10^{-12}$.

26 pages, 19 figures. V2: Typo fixes, references added, figure file sizes reduced. Discussion added on consistency with mu -> 3e limits in the Type-II Seesaw Model. Agrees with version published in JHEP

References in corpus (23)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Distinguishing seesaw models at LHC with multi-lepton signals
• Low energy effects of neutrino masses
• General CP Violation in Minimal Left-Right Symmetric Model and Constraints on the Right-Handed Scale
• Search for heavy neutrinos and W bosons with right-handed couplings in proton-proton collisions at sqrt(s) = 8 TeV
• Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry
• First Limits on Left-Right Symmetry Scale from LHC Data
• Lepton Flavour Violating Decays tau to lll and mu to e gamma in the Higgs Triplet Model
• Higgs $\to \mu \tau$ in Abelian and Non-Abelian Flavor Symmetry Models
• Neutrino Jets from High-Mass $W_R$ Gauge Bosons in TeV-Scale Left-Right Symmetric Models
• Lepton flavour violating semileptonic tau decays in constrained MSSM-seesaw scenarios
• Strong P invariance, neutron EDM and minimal Left-Right parity at LHC
• Limits on tau Lepton-Flavor Violating Decays in three charged leptons
• Majorana Higgses at colliders
• Probing Doubly Charged Higgs Bosons at the LHC through Photon Initiated Processes
• Physics at a 100 TeV pp collider: Standard Model processes
• Type-II Seesaw Model and Multilepton Signatures at Hadron Colliders
• Charged-Higgs Collider Signals with or without Flavor
• Perspectives for Detecting Lepton Flavour Violation in Left-Right Symmetric Models
• Inclusive search for supersymmetry using razor variables in pp collisions at sqrt(s) = 13 TeV
• Search for supersymmetry in events with one lepton and multiple jets in proton-proton collisions at sqrt(s) = 13 TeV

Cited by in corpus (6)

• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• Lepton Flavor Violation Induced by a Neutral Scalar at Future Lepton Colliders
• Effects of heavy Majorana neutrinos on lepton flavor violating processes
• Probing the Type-II Seesaw Mechanism through the Production of Higgs Bosons at a Lepton Collider
• New physics with the lepton flavor violating decay $\tau \to 3\mu$
• Doubly-charged scalar in rare decays of $B_c$ meson