OD Calorimetry Study

Jaewon Park

University of Rochester

MINERvA/Jupiter Group Meeting, Mar 8, 2006

Bethe-Bloch formula (Energy loss of charged particles)

22

2

2

420

)1(

2ln

4

I

mv

A

Z

mv

ezN

dx

dE

dE/dx is assumed constant in the calculation.

In actual case, it’ll be one source of nonlinearity

Different particle has different dE/dx. In particle shower it’ll combination of them.

Total Energy Loss Calculation

scintscintmin

scintscintminiron

ironminscint

losstotalloss )(

)()(

L

LLEE

dxdE

dxdE

dxdE

scintLironL

particle

scintlossheight) (pluse E

iron scint

Energy loss in each layer

particle

ID ECAL HCAL

Pb Fe

ldxActiveCa

ldxActiveCaaldxPassiveC)n()n( scint

losstotalloss

EE

n: layer number (n=0,...,4)

Energy resolution

E (true)

E (measured)

true

truemeasured

E

EE

E

E

EE

E 1

E_measured vs. E_true

E_measured vs. E_true (1 OD layer)

Energy resolution

Measured energy should collect all the energy? (y-intercept should be zero?)

E (measured)

E (true)

Energy resolution

E (true) E (measured)

EE /

EE

E 1

EE /

Resolution as # layer decrease, not calibrated( CC, QE, old geom, 5.2PE/MeV)

Resolution decrease due to leakage ( CC, QE, old geom, 5.2PE/MeV)

Resolution as # layer decrease, not calibrated ( CC, QE, new geom, 5.2PE/MeV)

Resolution decrease due to leakage ( CC, QE, new geom, 5.2PE/MeV)