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Title: A $$L_\mu - L_\tau$$ Theory of Higgs Flavor Violation and $$(g-2)_\mu$$

Several experiments reported hints for the violation of lepton flavor or lepton flavor universality in processes involving muons. Most prominently, there is the hint for a non-zero rate of the flavor violating Higgs decay $$h \to \tau\mu$$ at the LHC, as well as the hint for lepton flavor universality violation in rare $B$ meson decays at LHCb. In addition, also the long standing discrepancy in the anomalous magnetic moment of the muon motivates new physics connected to muons. A symmetry which violates lepton flavor universality, is $$L_\mu-L_\tau$$: the difference of muon-number and tau-number. We show that adding vector-like fermions to a $$L_\mu-L_\tau$$ theory generates naturally an effect in the anomalous magnetic moment of the muon and $$h\to\tau\mu$$, while effects in other $$\tau \to \mu$$ transitions are systematically suppressed by symmetry arguments. We find that if $$L_\mu-L_\tau$$ is gauged it is possible to also accommodate the discrepant $$b\to s\mu\mu$$ data while predicting a $$\tau\to3\mu$$ and a modified $$h\to\mu\mu$$ rate within reach of upcoming experiments.
Authors:
 [1] ;  [2] ;  [3]
  1. Cincinnati U.
  2. Chicago U., KICP
  3. PSI, Villigen
Publication Date:
OSTI Identifier:
1288749
Report Number(s):
PSI-PR-16-04; FERMILAB-PUB-16-131-T; arXiv:1604.08221
1452807
DOE Contract Number:
AC02-07CH11359
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys.Rev.Lett.
Research Org:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS