Semi-inclusive neutrino-nucleus reactions
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1 Final State Nucleons for Neutrino - Nucleus Interactions Thomas Jefferson National Accelerator Facility May 14th, 2015 Semi-inclusive neutrino-nucleus reactions Oscar Moreno Laboratory for Nuclear Science, Massachusetts Institute of Technology
2 Final State Nucleons for Neutrino - Nucleus Interactions Thomas Jefferson National Accelerator Facility May 14th, 2015 Semi-inclusive neutrino-nucleus reactions T. W. Donnelly Laboratory for Nuclear Science, Massachusetts Institute of Technology J. W. Van Orden Department of Physics, Old Dominion University and Jefferson Lab W. P. Ford Department of Physics, University of Southern Mississippi
3 SUMMARY Definition of semi-inclusive Motivation Kinematics: lepton and transfer variables, the space of residual nucleus variables Dynamics: generalized Rosenbluth factors and hadronic response functions, tensor contraction and cross-sections Remarks on incident neutrino kinematics and nuclear dynamics Summary
4 DEFINITION In semi-inclusive charged current neutrino-nucleus reactions (anti)neutrinos interact with a nuclear target and the final charged lepton is detected in coincidence with a another particle.
5 DEFINITION In semi-inclusive charged current neutrino-nucleus reactions (anti)neutrinos interact with a nuclear target and the final charged lepton is detected in coincidence with a another particle. Case of most interest: nucleon emission
6 MOTIVATION An increasing number of neutrino experiments allow for semiinclusive measurements (ArgoNeuT, MicroBooNE: m and p).
7 MOTIVATION An increasing number of neutrino experiments allow for semiinclusive measurements (ArgoNeuT, MicroBooNE: m and p). Semi-inclusive measurements provide information on the incident neutrino kinematics.
8 MOTIVATION An increasing number of neutrino experiments allow for semiinclusive measurements (ArgoNeuT, MicroBooNE: m and p). Semi-inclusive measurements provide information on the incident neutrino kinematics. Hadronic structure studies.
9 KINEMATICS Leptonic variables: k, k, q Exchange variables: q, u q Detected hadron variables: pn, qn, f
10 Detected hadron variables: pn, qn, f KINEMATICS
11 KINEMATICS (ℇ,p) plane: allowed region For q, u fixed, with u < uqe ( y < 0, x > 1)
12 KINEMATICS (ℇ,p) plane: allowed region For q, u fixed, with u > uqe ( y > 0, x < 1)
13 KINEMATICS (ℇ,p) plane: residual system distribution
14 Leptonic and hadronic tensors: DYNAMICS
15 DYNAMICS Leptonic and hadronic tensors contraction:
16 DYNAMICS Generalized Rosenbluth factors from the leptonic tensor:
17 DYNAMICS Generalized Rosenbluth factors from the leptonic tensor:
18 DYNAMICS Response functions from the hadronic tensor:
19 DYNAMICS Response functions from the hadronic tensor: For inclusive cross-sections: f dependence
20 DYNAMICS General differential cross-section: Integration over the unobserved residual system variables:
21 REMARKS In practice, one performs an integration of the cross-section over the incoming neutrino energy weighted with the neutrino flux. For a given set of values of the semi-inclusive variables (k, q, pn, qn, f), a range of incident neutrino energy corresponds to a curve in the (ε,p)-plane. The nuclear target modeling is more demanding than in the inclusive case: (ε,p)-dependence needed. The possibility of kinematic discrimination would allow for the calibration of nuclear models.
22 Determination of the incident neutrino momentum - From momentum conservation: REMARKS
23 Determination of the incident neutrino momentum - From momentum conservation: REMARKS - From energy conservation:
24 Determination of the incident neutrino momentum - From momentum conservation: REMARKS - From energy conservation: For the particular case of deuteron target:
25 SUMMARY SEMI-INCLUSIVE CROSS-SECTION FORMALISM The masses of the incoming and outgoing leptons are kept.
26 SUMMARY SEMI-INCLUSIVE CROSS-SECTION FORMALISM The masses of the incoming and outgoing leptons are kept. Scattering of both neutrinos and antineutrinos (different sign of V-A interference contributions).
27 SUMMARY SEMI-INCLUSIVE CROSS-SECTION FORMALISM The masses of the incoming and outgoing leptons are kept. Scattering of both neutrinos and antineutrinos (different sign of V-A interference contributions). General hadronic target and hadronic products (detected particle and residual system).
28 SUMMARY SEMI-INCLUSIVE CROSS-SECTION FORMALISM The masses of the incoming and outgoing leptons are kept. Scattering of both neutrinos and antineutrinos (different sign of V-A interference contributions). General hadronic target and hadronic products (detected particle and residual system). Components of the leptonic and hadronic tensors are given in terms of chargelike, longitudinal and transverse projections of the electroweak current and organized into VV, AA and VA contributions.
29 SUMMARY SEMI-INCLUSIVE CROSS-SECTION FORMALISM The masses of the incoming and outgoing leptons are kept. Scattering of both neutrinos and antineutrinos (different sign of V-A interference contributions). General hadronic target and hadronic products (detected particle and residual system). Components of the leptonic and hadronic tensors are given in terms of chargelike, longitudinal and transverse projections of the electroweak current and organized into VV, AA and VA contributions. Formalism valid for charged-current and neutral current weak interactions; in the latter case, integrate over the unobserved outgoing neutrino variables (u-channel inclusive, different from t-channel inclusive).
30 SUMMARY REMARKS Transformation of hadronic variables to the (ε,p) variables, which are best suited to characterizing the nuclear dynamics.
31 SUMMARY REMARKS Transformation of hadronic variables to the (ε,p) variables, which are best suited to characterizing the nuclear dynamics. Translation of a neutrino energy range onto the (ε,p)-plane: kinematical discrimination of nuclear dynamics.
32 SUMMARY REMARKS Transformation of hadronic variables to the (ε,p) variables, which are best suited to characterizing the nuclear dynamics. Translation of a neutrino energy range onto the (ε,p)-plane: kinematical discrimination of nuclear dynamics. Determination of the incident neutrino kinematics in semi-inclusive measurements (special case of deuteron).
33 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING From semi-inclusive to inclusive From (mainly) charged-current to neutral-current From quasi-elastic to elastic From detection of ejected particles to detection of target recoil
34 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING From semi-inclusive to inclusive From (mainly) charged-current to neutral-current From quasi-elastic to elastic From detection of ejected particles to detection of target recoil In elastic neutrino scattering the target nucleus remains in its ground state. In general, the main contribution is the coherent scattering, proportional to N 2 and valid when q 1/R 160 A -1/3 MeV; it is the only contribution for even-even targets.
35 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING Relationship between coherent electron-nucleus and coherent neutrinonucleus cross-sections in PWBA: where the parity-violating elastic electron scattering asymmetry is defined as
36 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING Deviations from this prediction: - Coulomb distortion. - Effect of higher order corrections. - Different coupling of Z 0 to neutrinos and charged leptons. - Other effects affecting differently neutrinos and charged leptons.
37 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING Relationship between relative uncertainties:
38 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING Relationship between relative uncertainties: to which the PV experiment statistical contribution is: stat.
39 A BRIEF DETOUR TO A DIFFERENT PROCESS: ELASTIC NEUTRINO SCATTERING For measurements at different kinematic conditions:
40 ELASTIC NEUTRINO SCATTERING Preliminary results, starting point
41 Final State Nucleons for Neutrino - Nucleus Interactions Thomas Jefferson National Accelerator Facility May 14th, 2015 Semi-inclusive neutrino-nucleus reactions Oscar Moreno Laboratory for Nuclear Science, Massachusetts Institute of Technology
42 EXTRA MATERIAL
43 Generalized Rosenbluth factors
44 Generalized Rosenbluth factors
45 Generalized Rosenbluth factors, ERL
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