University of Rochester
Department of Physics and Astronomy
MINERvA (prof. Kevin McFarland)
Fermi National Accelerator Laboratory
Scientific Computing Division
GENIE (dr. Gabe Perdue)
by changing distance between horns one can change energy spectrum
by changing horns polarization one can switch between neutrino and anti-neutrino mode
Flux simulation starts with a Geant4 with the NuMI geometry
All of the information about interactions leading to neutrino are stored
The results of the simulation are corrected by external data
Similar approach to the one T2K used
NA49 - charged hadron production in proton scattering off thin targets
FLUKA is used to scale proton energy from \(158\) to \(120\) GeV
MIPP - charged hadron production on thin target and NuMI target replica
\[w_{HP} = \frac{f_{data}(x_F, p_T, E)}{f_{MC}(x_F, p_T, E)}, ~~~~~ f\equiv\frac{E}{\sigma}\frac{d^3\sigma}{dp^3}\]
Using external hadron production data events are weighted using the above formula
An event is reweighted on "interaction-by-interaction" basis
Whenever possible - "thick" target data is used
Many-Universes method is used to propagate external data uncertainties to our flux
for each universe (u) data central value is shifted (respect to data uncertainties)
\[w_u \sim \prod_i w_{HP, u, i}\]
Generation 0 -> no MIPP data
Generation 1 -> MIPP thin target data + other improvements
Generation 2 -> MIPP thick target data + other improvements
Flux | Analysis | Reference |
---|---|---|
Generation 0 | \(\nu_\mu\) CCQE | PRL 111 (2013) 022502 |
Generation 0 | \(\bar{\nu_\mu}\) CCQE | PRL 111 (2013) 022501 |
Generation 1 | \(\nu_\mu\) muon + proton | PRD 91 (2015) 071301 |
Generation 1 | \(\nu_\mu\) CC \(\pi^\pm\) | PRD 92 (2015) 092008 |
Generation 1 | \(\bar{\nu_\mu}\) CC \(\pi^0\) | PLB 749 (2015) 130 |
Generation 1 | Coherent \(\pi\) | PRL 113 (2014) 261802 |
Generation 1 | CC target ratios | PRL 112 (2014) 231801 |
\[\frac{d\sigma}{d\nu} = A + B\frac{\nu}{E} - \frac{C}{2}\frac{\nu^2}{E^2}\]
Differential cross-section can be expressed by the above formula
It is a constant for \(\frac{\nu}{E} \rightarrow 0\)
It can be used to constraint the flux prediction (with high-energy normalization taken from other measurements, like NOMAD)
Flux | Analysis | Reference |
---|---|---|
Generation 0 | \(\nu_\mu\) CCQE | PRL 111 (2013) 022502 |
Generation 0 | \(\bar{\nu_\mu}\) CCQE | PRL 111 (2013) 022501 |
require only muon track
target -> scintillator (CH)
Flux | Analysis | Reference |
---|---|---|
Generation 1 | \(\nu_\mu\) muon + proton | PRD (2015) 071301 |
CC \(\nu_\mu\) on \(CH\)
require a muon, at least one proton, and no pions in the final state
based on hadronic kinematics
proton kinetic energy > 110 MeV
CC \(1\pi^\pm\)
require a muon and exactly one charged pion
\(W < 1.4\) GeV
CC \(N\pi^\pm\)
require a muon and at least one charged pion
\(W < 1.8\) GeV
\[E_\nu = E_\mu + E_{recoil}\] \[Q^2 = 2E_\nu(E_\mu - |\vec p_\mu|\cos\theta_\mu) - m_\mu^2\] \[W_{exp}^2 = M_p^2 - Q^2 + 2M_pE_{recoil}\]
The \(\gamma\gamma\) invariant mass is reconstructed from the photon energies (\(E_1\), \(E_2\)):
\[m_{\gamma\gamma}^2 = 2E_1E_2(1 - \cos\theta_{\gamma\gamma})\]
shadowing at low \(x\)
no MEC in simulations (high \(x\) dominated by QE)
\(W > 2\) GeV and \(Q^2 > 1\) GeV\(^2\)
\(E_\nu\) up to 50 GeV
\(\nu\)-CC(\(\pi^+\)) and \(\bar\nu\)-CC(\(\pi^0\))
total cross section
differential cross sections:
MINERvA offers an unique opportunity to measure neutrino cross section on different nuclear targets
There is still a lot of collected data to study (e.g. in nuclear target region)
Medium energy data will allow to study more precisely DIS (and transition region?)