Probing the intrinsic Lorentz Invariance Violation with DUNE Mehedi - PowerPoint PPT Presentation

Probing the intrinsic Lorentz Invariance Violation with DUNE Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, M. Tortola: PLB(2018)) DISCRETE2018, Austrian Academy of Sciences, Vienna, November 27, 2018 Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 1 / 22

Table of contents Background: Lorentz Invariance Violation (LIV) model Effect of LIV in the probability level Simulation Result: Correlations in the new parameter space Result: New/ improved constraints on LIV parameters Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 2 / 22 Conclusion

Present status of oscillation parameters Table: de Salas, Forero, Ternes, Tortola, Valle: 1708.01186 Oscillation parameter Best fit value 3 σ range θ 12 / ◦ 34 . 5 31 . 5 → 38 . 0 θ 23 / ◦ 47 . 7 41 . 8 → 50 . 4 θ 13 / ◦ 8 . 45 8 . 0 → 8 . 9 δ CP /π − 0 . 68 [ − π, π ] ∆ m 2 21 / 10 − 5 eV 2 7 . 55 7 . 05 → 8 . 14 ∆ m 2 31 / 10 − 3 eV 2 2 . 5 2 . 41 → 2 . 6 Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 3 / 22

Theory background (Kostelecky et al. (2012) 2 ¯ ∂ − M + ˆ L = 1 Ψ( i / Q )Ψ + h . c . with Ψ = ( ν e , ν µ , ν τ , ν C e , ν C µ , ν C τ ) T ˆ Q is a general Lorentz violating operator: Q = ˆ ˆ ν λ γ λ + ˆ A λ γ 5 γ λ + 1 2 ˆ T λη σ λη S + i P γ 5 + ˆ � � L LIV = − 1 a µ αβ ¯ ψ α γ µ ψ β + b µ αβ ¯ ψ α γ 5 γ µ ψ β − ic µν αβ ¯ ψ α γ µ ∂ ν ψ β − id µν αβ ¯ ψ α γ 5 γ µ ∂ ν ψ β 2 CP-odd LIV: ( a L ) µ αβ = ( a + b ) µ αβ → probed in our analysis CP-even LIV: ( c L ) µν αβ = ( c + d ) µν αβ → already constrained tightly ( Kostelecky et al. ). Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 4 / 22

Theory background (Kostelecky et al. (2012) H = H vac + H mat + H LIV ,     0 1 0 0 1 ∆ m 2  U † , H vac = 2 E U H mat = A 0 0 0    21 ∆ m 2 0 0 0 31     a ee a e µ a e τ c ee c e µ c e τ a ∗  − 4 c ∗ H LIV = a µµ a µτ 3 E c µµ c µτ    e µ e µ a ∗ a ∗ c ∗ c ∗ a ττ c ττ e τ µτ e τ µτ � �� � not considered Similar to: H = H vac + H mat + H NSI where,   ǫ ee ǫ e µ ǫ e τ √ ǫ ∗ H NSI = 2 G F N e ǫ µµ ǫ µτ   e µ ǫ ∗ ǫ ∗ ǫ ττ e τ µτ √ a αβ ↔ 2 G F N e ǫ αβ But LIV is an intrinsic effect and nonzero even in vacuum NSI is an exotic matter effect, not present in vacuum (Diaz (2015)) Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 5 / 22

What is DUNE (Deep Underground Neutrino Experiment)? R. Acciarri et. al. (DUNE Collaboration): 1512.06148 A proposed long baseline experiment (the erstwhile LBNE) with 1300 km baseline likely to have a 40 kt FD with 3.5 yrs. of ν and 3.5 yrs. of ¯ ν run. The incident ν µ beam is generated by 80 GeV proton beam delivered at 1.07 MW with a POT of 1 . 47 × 10 21 Total exposure : 300 kt-MW-yr. Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 6 / 22

Simulation We use GLoBES and the latest configuration files (Alion et al. (2016)) Modify the GLoBES add-on snu.c to implement LIV scenario channels bins [ N ij true ( SI ) − N ij test ( a αβ )] 2 ∆ χ 2 ≃ � � N ij true ( SI ) i j ∆ χ 2 total = ∆ χ 2 + ∆ χ 2 + ∆ χ 2 + ∆ χ 2 ν µ → ν e ν µ → ¯ ¯ ν e ν µ → ν µ ¯ ν µ → ¯ ν µ marginalisation over θ 23 , δ CP , ∆ m 2 31 and hierarchy and the phase φ αβ Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 7 / 22

Impact of LIV parameters (non-diagonal) at probability level Top row: P SI µ e (black) and P LIV µ e (red), Bottom row: | P LIV µ e − P SI µ e | a e µ and a e τ modify P µ e in opposite direction. a µτ has very small effect on ν e appearance channel. Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 8 / 22

Impact of LIV parameters (diagonal) at probability Top row: P SI µ e (black) and P LIV µ e (red), Bottom row: | P LIV µ e − P SI µ e | a ee and a µµ increase or decrease the probability depending on the sign. Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 9 / 22

Constraining LIV-SI parameter space Shows the correlations between a αβ and standard oscillation parameters ( δ, θ 23 ) The sensitivity to δ gets modified in presence of a e τ Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 10 / 22

Constraining LIV-SI parameter space Shows the correlations between a αα and standard oscillation parameters New degeneracy around a ee ≈ − 22 × 10 − 23 GeV : - an effect of marginalisation over both mass orderings. Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 11 / 22

Correlations among LIV parameters ( a αα vs. a αβ ) New degeneracy around a ee ≈ − 22 × 10 − 23 GeV a ee − a e τ correlation: A pair of linear branches around a ee ≈ 0 and ≈ − 22 × 10 − 23 GeV = ⇒ a consequence of ( a ee − | a e τ | )-like term. Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 12 / 22

Correlations among LIV parameters Indication of | a e µ | and | a e τ | acting in opposite directions is apparent Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 13 / 22

one dimensional projection for the LIV parameters 10 8 6 Δχ 2 95% C.L. 95% C.L. 4 2 0 −40 −20 0 20 −10 −5 0 5 10 a ee [10 -23 GeV] a μμ [10 -23 GeV] 10 8 6 Δχ 2 95% C.L. 95% C.L. 95% C.L. 4 2 0 0 0.5 1 1.5 2 2.5 3 0 0.5 1 1.5 2 2.5 3 0 0.5 1 1.5 2 2.5 3 |a eμ | [10 -23 GeV] |a eτ | [10 -23 GeV] |a μτ | [10 -23 GeV] Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 14 / 22

Constraints on LIV parameters Parameter Existing bounds Our work (Abe et al. 2015 (SK collab.)) 2 . 5 × 10 − 23 7 × 10 − 24 | a e µ | [GeV] 5 × 10 − 23 1 × 10 − 23 | a e τ | [GeV] 8 . 3 × 10 − 24 1 . 7 × 10 − 23 | a µτ | [GeV] − 2 . 5 × 10 − 22 < a ee < − 2 × 10 − 22 and a ee [GeV] − − 2 . 5 × 10 − 23 < a ee < 3 . 2 × 10 − 23 − 3 . 7 × 10 − 23 < a µµ < 4 . 8 × 10 − 23 a µµ [GeV] − 3 times Improvement of bound for | a e µ | and 5 times for | a e τ | Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 15 / 22

Conclusion Realization of a Plank suppressed effect such as LIV in a much anticipated neutrino experiment Correlations in the new LIV parameter space Improvement of the bounds on e µ and e τ sector LIV parameters New bounds on diagonal LIV parameters a ee and a µµ Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 16 / 22

Thank You! Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 17 / 22

Backup ∆ P µ e ( ε e µ ) = P NSI µ e ( ε e µ ) − P SI µ e ≈ − 4 A ∆ sin ∆ | ε e µ | s 13 s 2(23) c 23 D e µ sin( δ + ϕ e µ − γ e µ 1 ) 1 & ∆ P µ e ( ε e τ ) ≈ 4 A ∆ sin ∆ | ε e τ | s 13 s 2(23) s 23 D e τ 1 sin( δ + ϕ e τ + γ e τ 1 ) where, = tan − 1 (tan 2 θ 23 = [sin 2 ∆ + (tan 2 θ 23 sin ∆ D e µ + cos ∆) 2 ] 1 / 2 γ e µ + cot ∆) 1 1 ∆ ∆ = [sin 2 ∆ + (sin ∆ = tan − 1 ( 1 D e τ − cos ∆) 2 ] 1 / 2 ; γ e τ ∆ − cot ∆) 1 1 ∆ Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 18 / 22

Backup | ∆ P| 0 0.005 0.01 0.015 0.02 10 10 9 9 8 8 7 7 E [GeV] 6 6 | ∆ P µ e | 5 5 4 4 3 3 2 2 1 1 10 10 0 0 9 9 8 8 7 7 E [GeV] 6 6 | ∆ P µµ | 5 5 4 4 3 3 2 2 1 1 0 0 0 0 0.05 0.05 0.1 0.1 0.15 0.15 0.2 0.2 0.25 0.25 0.3 0.3 0 0 0.05 0.05 0.1 0.1 0.15 0.15 0.2 0.2 0.25 0.25 0.3 0 0.3 0 0.05 0.05 0.1 0.1 0.15 0.15 0.2 0.2 0.25 0.25 0.3 0.3-0.3 -0.3 -0.2 -0.2 -0.1 -0.1 0 0 0.1 0.1 0.2 0.2 0.3 0.3-0.3 -0.3 -0.2 -0.2 -0.1 -0.1 0 0 0.1 0.1 0.2 0.2 0.3 0.3 | ε e µ | | ε e τ | | ε µτ | ε ee ε ττ Mehedi Masud (IFIC-CSIC, U. Valencia) (work done with G. Barenboim, C. A. Ternes, Probing the intrinsic Lorentz Invariance Violation with DUNE 19 / 22