Unification and Local Baryon Number Sebastian Ohmer Collaborator: - PowerPoint PPT Presentation

Unification and Local Baryon Number Sebastian Ohmer Collaborator: Pavel Fileviez Pérez P.Fileviez Pérez, SO, Phys.Lett B768 (2017), [arXiv:1612.07165] MPIK Heidelberg 17. May 2017

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y Sebastian Ohmer (MPIK) 1 / 9

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y ◮ Baryon and lepton number classical symmetries in standard model Sebastian Ohmer (MPIK) 1 / 9

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y ◮ Baryon and lepton number classical symmetries in standard model ◮ Proton lifetime � 10 34 yrs. Sebastian Ohmer (MPIK) 1 / 9

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y ◮ Baryon and lepton number classical symmetries in standard model ◮ Proton lifetime � 10 34 yrs. Why three so different interactions? Sebastian Ohmer (MPIK) 1 / 9

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y ◮ Baryon and lepton number classical symmetries in standard model ◮ Proton lifetime � 10 34 yrs. ◮ Grand Unified Theories (GUTs) Georgi, Glashow (1974) Sebastian Ohmer (MPIK) 1 / 9

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y ◮ Baryon and lepton number classical symmetries in standard model ◮ Proton lifetime � 10 34 yrs. ◮ Grand Unified Theories (GUTs) Georgi, Glashow (1974) ◮ Great desert M GUT � 10 14 − 16 GeV Sebastian Ohmer (MPIK) 1 / 9

Motivation Motivation ◮ Standard Model of Particle Physics SU (3) C ⊗ SU (2) L ⊗ U (1) Y ◮ Baryon and lepton number classical symmetries in standard model ◮ Proton lifetime � 10 34 yrs. ◮ Grand Unified Theories (GUTs) Georgi, Glashow (1974) ◮ Great desert M GUT � 10 14 − 16 GeV Untestable! Sebastian Ohmer (MPIK) 1 / 9

Gauging Baryon Number Gauging Baryon Number How can we lower the GUT scale? Sebastian Ohmer (MPIK) 2 / 9

Gauging Baryon Number Gauging Baryon Number Make the proton stable again! Sebastian Ohmer (MPIK) 2 / 9

Gauging Baryon Number Gauging Baryon Number Make the proton stable again! ◮ Promote global symmetries to local symmetries SU (3) C ⊗ SU (2) L ⊗ U (1) Y ⊗ U (1) B Fileviez Pérez, Wise (2010) Sebastian Ohmer (MPIK) 2 / 9

Gauging Baryon Number Gauging Baryon Number Make the proton stable again! ◮ Promote global symmetries to local symmetries SU (3) C ⊗ SU (2) L ⊗ U (1) Y ⊗ U (1) B Fileviez Pérez, Wise (2010) ◮ Bottom-up approaches: Leptobaryons Duerr, Fileviez Pérez, Wise (2013), Fileviez Pérez, SO, Patel (2014) talk by Michael Duerr Sebastian Ohmer (MPIK) 2 / 9

Gauging Baryon Number Gauging Baryon Number Leptobaryons Make the proton stable again! ◮ Proton decay suppressed ◮ Promote global symmetries to local symmetries c B Λ 15 ( QQQL ) 3 S ∗ SU (3) C ⊗ SU (2) L ⊗ U (1) Y ⊗ U (1) B B Fileviez Pérez, Wise (2010) ◮ Bottom-up approaches: Leptobaryons ◮ Inherently stable cold dark matter candidate Duerr, Fileviez Pérez, Wise (2013), Fileviez Pérez, SO, Patel (2014) ◮ Dark matter asymmetries linked to matter-antimatter asymmetry talk by Michael Duerr ◮ Predict leptophobic gauge boson Z B ◮ Enable low scale unification Sebastian Ohmer (MPIK) 2 / 9

Gauging Baryon Number Gauging Baryon Number Make the proton stable again! ◮ Promote global symmetries to local symmetries SU (3) C ⊗ SU (2) L ⊗ U (1) Y ⊗ U (1) B Fileviez Pérez, Wise (2010) ◮ Bottom-up approaches: Leptobaryons Duerr, Fileviez Pérez, Wise (2013), Fileviez Pérez, SO, Patel (2014) talk by Michael Duerr ⇒ Now: UV complete top-down approach Sebastian Ohmer (MPIK) 2 / 9

433 SU (4) C ⊗ SU (3) L ⊗ SU (3) R ◮ Partial Unification SU (4) C ⊗ SU (3) L ⊗ SU (3) R ◮ Standard Model fermions Q c ∼ (¯ Q ∼ (4 , ¯ L ∼ (1 , 3 , ¯ 3 , 1) , 4 , 1 , 3) , and 3) ◮ Anomaly cancellation Ψ c ∼ (1 , 3 , 1) η ∼ (1 , 1 , ¯ and 3) Sebastian Ohmer (MPIK) 3 / 9

433 SU (4) C ⊗ SU (3) L ⊗ SU (3) R ◮ Partial Unification Matrix Notation SU (4) C ⊗ SU (3) L ⊗ SU (3) R ◮ Standard Model fermions ◮ Standard Model fermions Q c ∼ (¯ Q ∼ (4 , ¯ L ∼ (1 , 3 , ¯ 3 , 1) , 4 , 1 , 3) , and 3) ◮ Anomaly cancellation ◮ New fermions Ψ c ∼ (1 , 3 , 1) η ∼ (1 , 1 , ¯ and 3) Sebastian Ohmer (MPIK) 3 / 9

433 Symmetry Breaking ◮ Idea: baryon number as fourth color Fileviez Pérez, Wise (2013), Fornal, Rajaraman, Tait (2015) SU (4) C → SU (3) C ⊗ U (1) B Sebastian Ohmer (MPIK) 4 / 9

433 Symmetry Breaking ◮ Idea: baryon number as fourth color Fileviez Pérez, Wise (2013), Fornal, Rajaraman, Tait (2015) SU (4) C → SU (3) C ⊗ U (1) B ◮ Scalar sector � Σ � = v C T 15 Σ ∼ (15 , 1 , 1) with C √ 2) T φ ∼ (4 , 1 , 1) with � φ � = (0 , 0 , 0 , v B / Sebastian Ohmer (MPIK) 4 / 9

433 Symmetry Breaking ◮ Idea: baryon number as fourth color Fileviez Pérez, Wise (2013), Fornal, Rajaraman, Tait (2015) SU (4) C → SU (3) C ⊗ U (1) B ◮ Scalar sector � Σ � = v C T 15 Σ ∼ (15 , 1 , 1) with C √ 2) T φ ∼ (4 , 1 , 1) with � φ � = (0 , 0 , 0 , v B / talk by Juri Smirnov Sebastian Ohmer (MPIK) 4 / 9

433 Symmetry Breaking ◮ Idea: baryon number as fourth color Fileviez Pérez, Wise (2013), Fornal, Rajaraman, Tait (2015) SU (4) C → SU (3) C ⊗ U (1) B ◮ Scalar sector � Σ � = v C T 15 Σ ∼ (15 , 1 , 1) with C √ 2) T φ ∼ (4 , 1 , 1) with � φ � = (0 , 0 , 0 , v B / talk by Juri Smirnov ◮ Masses new fermions − L ⊃ y Ψ φ † Q Ψ c + y η φ Q c η + h . c . v ∗ v B B √ √ ⇒ M Ψ = y Ψ and M η = y η 2 2 Sebastian Ohmer (MPIK) 4 / 9

433 Symmetry Breaking ◮ Idea: baryon number as fourth color Fileviez Pérez, Wise (2013), Fornal, Rajaraman, Tait (2015) SU (4) C → SU (3) C ⊗ U (1) B ◮ Scalar sector � Σ � = v C T 15 Σ ∼ (15 , 1 , 1) with C √ 2) T φ ∼ (4 , 1 , 1) with � φ � = (0 , 0 , 0 , v B / talk by Juri Smirnov ◮ Masses new fermions − L ⊃ y Ψ φ † Q Ψ c + y η φ Q c η + h . c . v ∗ v B B √ √ ⇒ M Ψ = y Ψ and M η = y η 2 2 QQQL ΦΦ φ † / Λ 5 ⇒ proton decay suppressed Sebastian Ohmer (MPIK) 4 / 9

Trinification and Gauged Baryon Number Trinification and Gauged Baryon Number ◮ Trinification and Gauged Baryon Number SU (3) C ⊗ SU (3) L ⊗ SU (3) R ⊗ U (1) B ◮ Symmetry breaking to Standard Model  ϕ 0 ϕ + H 0  1 i i Li Φ i ∼ (1 , 3 , ¯ ϕ − ϕ 0 H − 3) with i = 1 , 2 , 3 ⇒ Φ i =   i 2 i i   H 0 H + S 0 Ri i i ◮ Standard Model masses −L ⊃ QQ c ( y 1 Φ 1 + y 2 Φ 2 + y 3 Φ 3 ) + 1 2 LL ( k 1 Φ 1 + k 2 Φ 2 + k 3 Φ 3 ) + h . c . Sebastian Ohmer (MPIK) 5 / 9

Trinification and Gauged Baryon Number Symmetry Breaking Trinification and Gauged Baryon Number ◮ Trinification and Gauged Baryon Number SU (3) C ⊗ SU (3) L ⊗ SU (3) R ⊗ U (1) B ◮ Symmetry breaking to Standard Model  ϕ 0 ϕ + H 0  1 i i Li Φ i ∼ (1 , 3 , ¯ ϕ − H − ϕ 0 3) with i = 1 , 2 , 3 ⇒ Φ i =   i 2 i i   H 0 H + S 0 i Ri i ◮ Standard Model masses −L ⊃ QQ c ( y 1 Φ 1 + y 2 Φ 2 + y 3 Φ 3 ) + 1 2 LL ( k 1 Φ 1 + k 2 Φ 2 + k 3 Φ 3 ) + h . c . Sebastian Ohmer (MPIK) 5 / 9

Trinification and Gauged Baryon Number Leptophobic Gauge Bosons √ � � G µ X µ / 2 √ + Z B µ T 15 ◮ SU (4) C gauge boson: A µ = X ∗ C µ / 2 0 Sebastian Ohmer (MPIK) 6 / 9

Trinification and Gauged Baryon Number Leptophobic Gauge Bosons √ � � G µ X µ / 2 √ + Z B µ T 15 ◮ SU (4) C gauge boson: A µ = X ∗ C µ / 2 0 ◮ Massless Standard Model gluons G µ ∼ (8 , 1 , 1) Sebastian Ohmer (MPIK) 6 / 9

Trinification and Gauged Baryon Number Leptophobic Gauge Bosons √ � � G µ X µ / 2 √ + Z B µ T 15 ◮ SU (4) C gauge boson: A µ = X ∗ C µ / 2 0 ◮ Massless Standard Model gluons G µ ∼ (8 , 1 , 1) ◮ Massive leptophobic gauge boson X µ ∼ (3 , 1 , 1) X = 2 C + 1 M 2 3 g 2 C v 2 4 g 2 C v 2 X µ → q ¯ Ψ , η c q c and B Sebastian Ohmer (MPIK) 6 / 9

Trinification and Gauged Baryon Number Leptophobic Gauge Bosons √ � � G µ X µ / 2 √ + Z B µ T 15 ◮ SU (4) C gauge boson: A µ = X ∗ C µ / 2 0 ◮ Massless Standard Model gluons G µ ∼ (8 , 1 , 1) ◮ Massive leptophobic gauge boson X µ ∼ (3 , 1 , 1) X = 2 C + 1 M 2 3 g 2 C v 2 4 g 2 C v 2 X µ → q ¯ Ψ , η c q c and B ◮ Massive leptophobic gauge boson Z B µ ∼ (1 , 1 , 1) qq , ¯ ΨΨ , q c q c , η c η c M Z B = g B v B and Z B → ¯ Sebastian Ohmer (MPIK) 6 / 9

Trinification and Gauged Baryon Number Cosmology ◮ Stable fractional charged fermions Ψ , Ψ c , η, η c Q (Ψ u ) = +2 / 3 , Q (Ψ d ) = Q (Ψ D ) = − 1 / 3 , Q (Ψ c u ) = − 2 / 3 , Q (Ψ c d ) = Q (Ψ c D ) = +1 / 3 , Q ( η u ) = +2 / 3 , Q ( η d ) = Q ( η D ) = − 1 / 3 , Q ( η c u ) = − 2 / 3 , Q ( η c d ) = Q ( η c D ) = +1 / 3 . Sebastian Ohmer (MPIK) 7 / 9