Changes between Initial Version and Version 1 of 2Jets

Timestamp:

Mar 20, 2012, 4:17:59 PM (14 years ago)

Author:

trac

Comment:

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2Jets

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+== Two Jet Kinematics ==
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+At the LHC, partons in the incoming beams (beam energy %$E_b$%=7 !TeV) collide with a momementum fraction %$x_{1,2}$% and produce two jets with negligible mass, transverse momentum %$p_T$% and rapidities %$y_{3,4}$%.
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+==== 1. ====
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+Show that %$x_1 = \frac{p_T}{\sqrt{s}} ( e^{y_3}+ e^{y_4}), x_2 = \frac{p_T}{\sqrt{s}} ( e^{-y_3}+ e^{-y_4})\,. $%
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+==== 2. ====
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+Show that the invariant mass of the jet-jet system is
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+and the centre-of-mass scattering angle is given by
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+==== 3. ====
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+Discuss the regions of %$x_{1,2}, M_{JJ}$% and %$\theta^*$% that can be studied at the LHC with a jet trigger of %$p_T > 35 $% GeV and %$||y_{3,4}||<3$%.
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+==== 4. ====
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+Use MadGraph/MadEvent to obtain the relative contribution of %$gg,qg+\bar q g,qq+q\bar q$% initial states to the jet %$E_T$% distribution as function of the %$E_T$% %$(10<E_T<E_{\rm max}/4)$% at the Tevatron Run II (%$p\bar p$% collisions at 1.96 TeV) and the LHC (%$pp$% collisions at 14 TeV).
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