A function of the energy e of the beams

Assignment Help MATLAB Programming

Reference no: EM131107848

3. (Value: 20 marks, due in class Monday Dec 5, 2011)
A new particle has been discovered in a lab by colliding two beams of leptons and measuring how many particles are produced as a function of the energy E of the beams. The table below gives the results.

where M = 91.01 GeV, Γ = 2.6 GeV, and σ
pol = 0.00009846 events. Create a random number
generator that produces random numbers according this distribution. Plot these random numbers in a histogram and superpose the data points on your distribution. You may chose one free floating normalization parameter to get the overall scale of the Monte Carlo events
to agree with the data (state what normalization you use). However, the other parameters in the distribution are fixed to the values of M, Γ, σpol given above. Discuss the results of your
comparison between data and Monte Carlo events. (d) It may be possible to improve the comparison by "smearing" your Monte Carlo results by a Gaussian distribution, i.e. once you have generated your Monte Carlo event, then add to it a second component which is another random number which follows a Gaussian distribution centered at zero but with a small width. This effectively widens your distribution. Smear your Monte Carlo data with a Gaussian of width 1 GeV and once again compare to the data. Discuss the results of your comparison between data and Monte Carlo events. Try smearing with Gaussians of different widths and explain what you see. What width best describes the data? (e) Given your work in parts (a)-(d), propose a better smearing function than a regular Gaussian.
Explain your choice and show that this function works well at describing the data.

Reference no: EM131107848

Questions Cloud

Consider an industry that consists of two firms : Consider an industry that consists of two firms, A and B. They face a demand curve q = qA + qB = 14 - p, where p is the industry price of output. Both firms have constant average and marginal cost of $2. Suppose they form a cartel and choose the pric..

Calculate the ratio of the telescope : calculate the ratio of the telescope\'s angular resolution to the angular separation of the objects.

How was alexander able to create such a large empire : How was Alexander able to create such a large empire? What were the eventual consequences of the Crusades on Christian-Islamic relations

Square footage of the house-age of the house : Jenny Wilson is the owner and broker of a real estate company in Montgomery, Alabama. This company is known as Jenny Wilson Realty. for her real esate company, Ms. Wilson wants to develop a regression model to explain the selling price (SP) for a hou..

A function of the energy e of the beams : A new particle has been discovered in a lab by colliding two beams of leptons and measuring how many particles are produced as a function of the energy E of the beams. The table below gives the results.

Create a colum chart to compare all of the source : Please create a Colum chart to compare all of the source of funds for Nordstrom and its competitors Macys Neiman Marcus and Off Sacks 5th avenue. Please research the data create original charts. CAN NOT BE PLAGERIZED!

Definition of demand and law of demand : In detail, explain how the 5 variables/determinants of Demand, Be sure to relate your explanations back to the definition of Demand and the Law of Demand.

List of the world largest firms : Under Lists, click on "Global 2000 Leading Companies" to see the list of the world's largest firms. View the complete list. From the list, select two firms from two different industries and discuss the likely sources of the economies of scale that..

Dividend-yield-plus-growth-rate approach to calculate : Wyatt Inc. uses the dividend-yield-plus-growth-rate approach to calculate the cost of equity. Investors expect Wyatt's year-end dividend (D1) to be $3.00 a share, its expected dividend growth rate is 5%, and the stock currently sells for $60 a sh..

User Account

All Pages