Invariant approach to CP in unbroken Δ(27)
Invariant approach to CP in unbroken Δ(27)
 
  The invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich framework, with distinct aspects of CP, making it an ideal group to investigate with the invariant approach. We classify Lagrangians depending on the number of fields transforming as irreducible triplet representations of Δ(27). For each case, we construct CP-odd weak basis invariants and use them to discuss the respective CP properties. We find that CP violation is sensitive to the number and type of Δ(27) representations.
  
  
  14-36
  
    
      Branco, Gustavo C.
      
        d2e894d3-7888-4926-ab79-cf849e801bda
      
     
  
    
      de Medeiros Varzielas, Ivo
      
        9e2b1443-1449-4687-8d03-2f67275730c0
      
     
  
    
      King, Stephen F.
      
        f8c616b7-0336-4046-a943-700af83a1538
      
     
  
  
   
  
  
    
    
  
    
    
  
    
      October 2015
    
    
  
  
    
      Branco, Gustavo C.
      
        d2e894d3-7888-4926-ab79-cf849e801bda
      
     
  
    
      de Medeiros Varzielas, Ivo
      
        9e2b1443-1449-4687-8d03-2f67275730c0
      
     
  
    
      King, Stephen F.
      
        f8c616b7-0336-4046-a943-700af83a1538
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Branco, Gustavo C., de Medeiros Varzielas, Ivo and King, Stephen F.
  
  
  
  
   
    (2015)
  
  
    
    Invariant approach to CP in unbroken Δ(27).
  
  
  
  
    Nuclear Physics B, 899, .
  
   (doi:10.1016/j.nuclphysb.2015.07.024). 
  
  
   
  
  
  
  
  
   
  
    
    
      
        
          Abstract
          The invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich framework, with distinct aspects of CP, making it an ideal group to investigate with the invariant approach. We classify Lagrangians depending on the number of fields transforming as irreducible triplet representations of Δ(27). For each case, we construct CP-odd weak basis invariants and use them to discuss the respective CP properties. We find that CP violation is sensitive to the number and type of Δ(27) representations.
         
      
      
        
          
            
  
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 Accepted Manuscript Branco Invariant
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      Accepted/In Press date: 21 July 2015
 
    
      e-pub ahead of print date: 29 July 2015
 
    
      Published date: October 2015
 
    
  
  
    
  
    
  
    
  
    
  
    
  
    
  
    
     
        Organisations:
        Physics & Astronomy
      
    
  
    
  
  
        Identifiers
        Local EPrints ID: 383772
        URI: http://eprints.soton.ac.uk/id/eprint/383772
        
          
        
        
        
          ISSN: 0550-3213
        
        
          PURE UUID: 46f7e6e8-7678-4cc0-ab19-47e87663fbe5
        
  
    
        
          
        
    
        
          
        
    
        
          
            
          
        
    
  
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  Date deposited: 11 Nov 2015 17:23
  Last modified: 21 Aug 2025 10:35
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      Contributors
      
          
          Author:
          
            
            
              Gustavo C. Branco
            
          
        
      
          
          Author:
          
            
            
              Ivo de Medeiros Varzielas
            
          
        
      
        
      
      
      
    
  
   
  
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