Sector dependent shower shapes sorted into different preshower bins - Triple Gaussian Fits (Version 3)

Transverse Shower Profile Distributions 

Old Fitting Function 

Fitting function "[0]*(exp ( -0.5*((x-[1])/[2])**2 )+[3]*exp ( -0.5*((x-[4])/[5])**2 )+[6]*exp ( - 0.5*((x[7])/([8]*(1.0+[9]*(x-[7]))))**2 )"

New Fitting Function

Fitting function "[0]*(exp ( -0.5*((x-[1])/[2])**2 )+[3]*exp ( -0.5*((x-[4])/[5])**2 )+[6]*exp ( -0.5*((x[7])/([8]+[9]*(x-[7])))**2 )"

To see the values of all the parameters for these different fits, please open the attached file shower_mod_new.txt

(I) Sum of Sectors 1, 4, 7 & 10 (U Plane)

(a) Pre1 =0, Pre2 =0

      
 
(b) Pre1 =0, Pre2 >0
 
      
 
(c) 0<Pre1<4MeV
 
       
 
 
 
d) Pre1>=4MeV 
 
     
 
 

(I) Sum of Sectors 1, 4, 7 & 10 (V Plane)

(a) Pre1 =0, Pre2 =0

 

        

 

b) Pre1 =0, Pre2 >0

      
 
 
c) 0<Pre1<4MeV
 
      
 
 

(d) Pre1>=4MeV 

      
 
 

II) Sum of Sectors 2, 5, 8 & 11 (U Plane)

(a) Pre1 =0, Pre2 =0

 

      

 

b) Pre1 =0, Pre2 >0

      

 

c) 0<Pre1 < 4MeV

      

 

(d) Pre1 >= 4MeV

      

 

(II) Sum of Sectors 2, 5, 8 & 11 (V Plane)

(a) Pre1 =0, Pre2 =0

      

 

 

(b) Pre1 =0, Pre2 >0

      

 

(c) 0<Pre1<=4MeV

     
 
(d) Pre1 >= 4MeV
 
       
 
 

(III) Sum of Sectors 3, 6, 9 & 12 (U Plane)

(a) Pre1 =0, Pre2 =0

     

 

 

(b) Pre1 =0, Pre2 >0

 

      

 

c) 0<Pre1<4MeV

       

 

d) Pre1 >= 4MeV

       

 

(III) Sum of Sectors 3, 6, 9 & 12 (V Plane)

(a) Pre1 =0, Pre2 =0

      

 

(b) Pre1 =0, Pre2 >0

      

 

c) 0<Pre1 < 4MeV

      
 

(d) Pre1 >= 4MeV