Constraints on Non-Standard Neutrino Interactions from Borexino Phase-II Chen Sun Brown University/ CAS-ITP analysis by S. Agarwalla, A. Formozov, E. Meroni, CS, O. Smirnov, T. Takeuchi internally reviewed by Borexino collaboration Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 1 / 29
Probes of New Physics Complementary to Colliders ν ✿ γ ✿ ●r❛✈✐t❛t✐♦♥❛❧ ✇❛✈❡✿ • ❝♦s♠✐❝ • ❈▼❇ • ♣r✐♠♦r❞✐❛❧ • s♦❧❛r • ✷✶ ❝♠ • t♦♣♦❧♦❣✐❝❛❧ ❞❡❢❡❝ts • ❛t♠ • ▲② α • ♣❤❛s❡ tr❛♥s✐t✐♦♥ • ♥❡✉tr♦♥ st❛r • ▲❙❙ • ❜✐♥❛r② ♠❡r❣❡rs • ❙✉♣❡r♥♦✈❛❡ • ❙◆❡ • ✳✳✳ • ❜❡❛♠ • ❈❡♣❤❡✐❞s • r❡❛❝t♦r • ✳✳✳ • ✳✳✳ Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 2 / 29
Probes of New Physics Complementary to Colliders ν ✿ γ ✿ ●r❛✈✐t❛t✐♦♥❛❧ ✇❛✈❡✿ • ❝♦s♠✐❝ • ❈▼❇ • ♣r✐♠♦r❞✐❛❧ • s♦❧❛r • ✷✶ ❝♠ • t♦♣♦❧♦❣✐❝❛❧ ❞❡❢❡❝ts • ❛t♠ • ▲② α • ♣❤❛s❡ tr❛♥s✐t✐♦♥ • ♥❡✉tr♦♥ st❛r • ▲❙❙ • ❜✐♥❛r② ♠❡r❣❡rs • ❙✉♣❡r♥♦✈❛❡ • ❙◆❡ • ✳✳✳ • ❜❡❛♠ • ❈❡♣❤❡✐❞s • r❡❛❝t♦r • ✳✳✳ • ✳✳✳ ❙♦❧❛r ν ✿ • ♦♥❡ ♦❢ t❤❡ ♠♦st ✐♥t❡♥s❡ ✭❢r❡❡✮ ν ❜❡❛♠s • ❡♥✈✐r♦♥♠❡♥t t❤❛t ✐s ❤❛r❞ t♦ ❛❝❤✐❡✈❡ ♦♥ ❊❛rt❤ • ✉♥✐q✉❡ ❡♥❡r❣② r❛♥❣❡ Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 2 / 29
Probes of New Physics Complementary to Colliders ν ✿ γ ✿ ●r❛✈✐t❛t✐♦♥❛❧ ✇❛✈❡✿ • ❝♦s♠✐❝ • ❈▼❇ • ♣r✐♠♦r❞✐❛❧ • s♦❧❛r • ✷✶ ❝♠ • t♦♣♦❧♦❣✐❝❛❧ ❞❡❢❡❝ts • ❛t♠ • ▲② α • ♣❤❛s❡ tr❛♥s✐t✐♦♥ • ♥❡✉tr♦♥ st❛r • ▲❙❙ • ❜✐♥❛r② ♠❡r❣❡rs • ❙✉♣❡r♥♦✈❛❡ • ❙◆❡ • ✳✳✳ • ❜❡❛♠ • ❈❡♣❤❡✐❞s • r❡❛❝t♦r • ✳✳✳ • ✳✳✳ ❙♦❧❛r ν ✿ • ♦♥❡ ♦❢ t❤❡ ♠♦st ✐♥t❡♥s❡ ✭❢r❡❡✮ ν ❜❡❛♠s • ❡♥✈✐r♦♥♠❡♥t t❤❛t ✐s ❤❛r❞ t♦ ❛❝❤✐❡✈❡ ♦♥ ❊❛rt❤ • ✉♥✐q✉❡ ❡♥❡r❣② r❛♥❣❡ Pr♦❜❡s✿ • ■♥♥❡r ✇♦r❦✐♥❣s ♦❢ t❤❡ ❙✉♥ ✭❤✐❣❤✲ ✈s ❧♦✇✲♠❡t❛❧❧✐❝✐t②✮ • ❜♦✉♥❞✐♥❣ ♥❡✉tr✐♥♦ ♠❛❣♥❡t✐❝ ♠♦♠❡♥t • r❡❥❡❝t✐♥❣ ν ❢r♦♠ ●❲✶✺✵✾✶✹✱ ●❲✶✺✶✷✷✻✱ ●❲✶✼✵✶✵✹ (1706.10176) • ❈♦♥str❛✐♥✐♥❣ ♥❡✇ ♣❤②s✐❝s ♠♦❞❡❧ ✐♥❞❡♣❡♥❞❡♥t❧② ← this talk Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 2 / 29
Vector Interaction in EFT – Standard Model W/ Z CC = G F −L ν e √ [¯ ν e γ µ (1 − γ 5 ) e ] [¯ e γ µ (1 − γ 5 ) ν e ] 2 √ = 2 2 G F [¯ ν eL γ µ ν eL ] [¯ e L γ µ e L ] NC = G F −L ν α e e γ µ ( g ν e V − g ν e √ [¯ ν α (1 − γ 5 ) ν α ] [¯ A γ 5 ) e ] 2 √ ν α L γ µ ν α L ] [ g ν e e L γ µ e L ) + g ν e = 2 2 G F [¯ L (¯ R (¯ e R γ µ e R )] ❝♦♠❜✐♥❡s t♦ √ −L ν α e = 2 2 G F [¯ ν α L γ µ ν α L ] [ g α L (¯ e L γ µ e L ) + g α R (¯ e R γ µ e R )] ✇✐t❤ � sin 2 θ W + 1 α = e g α L = 2 sin 2 θ W − 1 α = µ, τ 2 g α R = sin 2 θ W α = e , µ, τ ∼ ❧❛r❣❡r ❝♦✉♣❧✐♥❣ ❢♦r ν e ✱ ✐♥ ❛❞❞✐t✐♦♥ t♦ t❤❡ P e → e / P e → x > 1 ∼ ♠♦r❡ ❡✈❡♥ts ∼ ❜❡tt❡r s❡♥s✐t✐✈✐t② ♦❢ g eL t❤❛♥ g eR t❤❛♥ g τ ✳ Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 3 / 29
Vector Interaction in EFT – NSI √ −L ν α e = 2 2 G F [¯ ν α L γ µ ν α L ] [ g α L (¯ e L γ µ e L ) + g α R (¯ e R γ µ e R )] √ −L ν α e NSI = 2 2 G F [¯ ν α L γ µ ν α L ] [ ε α L (¯ e L γ µ e L ) + ε α R (¯ e R γ µ e R )] ❝♦♠❜✐♥❡s t♦ ❣✐✈❡ g α L → g α L + ε α L , g α R → g α R + ε α R Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 4 / 29
NSI in Effective Operator Picture ❘❡q✉✐r❡♠❡♥t✿ • SU (2) W × U (1) Y ✐♥✈❛r✐❛♥t✱ • ❝♦♥t❛✐♥s (¯ ν L γ µ ν L )(¯ e γ µ e ) ■♥❣r❡❞✐❡♥ts✿ � ν α L � � � φ + , e − L α = , H = ℓ − φ 0 R α L ❲❛②s ♦❢ ❝♦♥tr❛❝t✐♥❣ SU (2) ✐♥❞✐❝❡s✿ � � � � 1 0 · 1 : [ · · ] , 0 1 · � � � � � � � � � � � � 0 1 · 0 − i · 1 0 · 3 : [ · · ] , [ · · ] , [ · · ] 1 0 · i 0 · 0 − 1 · Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 5 / 29
NSI in Effective Operator Picture – cont’d e R γ µ e R ) t②♣❡✿ (¯ ν α L γ µ ν α L )(¯ h α (1) 0 , R e R γ µ e R ) M 2 (¯ L α γ µ L α )(¯ e L γ µ e L ) t②♣❡✿ (¯ ν α L γ µ ν α L )(¯ h α (1) h α (3) M 2 (¯ 0 , L L α γ µ L α )(¯ L e γ µ L e ) M 2 (¯ 0 , L L α σ i γ µ L α )(¯ L e σ i γ µ L e ) Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 6 / 29
NSI in Effective Operator Picture – cont’d e R γ µ e R ) t②♣❡✿ (¯ ν α L γ µ ν α L )(¯ h α (1) M 2 (¯ 0 , R e R γ µ e R ) L α γ µ L α )(¯ h α (1) ( H † H ) 1 , R (¯ e R γ µ e R ) L α γ µ L α )(¯ M 2 M 2 h α (2) H † σ i H 1 , R (¯ L α σ i γ µ L α )(¯ e R γ µ e R ) M 2 M 2 e L γ µ e L ) t②♣❡✿ (¯ ν α L γ µ ν α L )(¯ h α (3) M 2 (¯ 0 , L L α σ i γ µ L α )(¯ L e σ i γ µ L e ) h α (1) 0 , L L e γ µ L e ) M 2 (¯ L α γ µ L α )(¯ h α (3) ( H † H ) 1 , L (¯ L α σ i γ µ L α )(¯ L e σ i γ µ L e ) h α (1) ( H † H ) M 2 M 2 1 , L L e γ µ L e ) (¯ L α γ µ L α )(¯ h α (4) M 2 M 2 ( H † σ i H ) 1 , L (¯ L α γ µ L α )(¯ L e σ i γ µ L e ) h α (2) H † σ i H M 2 M 2 1 , L (¯ L α σ i γ µ L α )(¯ L e γ µ L e ) h α (5) M 2 M 2 ( H † σ i H ) 1 , L (¯ L α σ j γ µ L α )(¯ L e σ k γ µ L e ) ǫ ijk M 2 M 2 Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 6 / 29
√ −L ν ναγµ PL να ) � � eff = 2 2 GF ( ¯ εα R (¯ e γµ PR e ) + εα L (¯ e γµ PLe ) , ν − e √ −L (1) τγµ PL τ ) � � eff = 2 2 GF ( ¯ κτ R (¯ e γµ PR e ) + κτ L (¯ e γµ PLe ) + ( τ → µ ) + ( τ → e ) , charged lepton scattering √ −L (2) ντ γµ PL ν e ) � � eff = 2 2 GF ( ¯ ζτ L (¯ e γµ PL τ ) + h . c . + ( τ → µ ) , LFV √ −L (3) � τγµ PL τ ) + ξντ L ( ¯ ντ γµ PL ντ ) � eff = 2 2 GF ( ¯ ν e γµ PL ν e ) ξτ L ( ¯ + ( τ → µ ) unobservable √ + 2 2 GF ξν e L ( ¯ ν e γµ PL ν e )( ¯ ν e γµ PL ν e ) , Chen Sun (Brown U./ CAS-ITP) Vector Form NSI at Borexino (UMass Amherst) 04/26/2019 7 / 29
Recommend
More recommend
