# Changes between Version 1 and Version 2 of 2Jets

Ignore:
Timestamp:
04/06/12 16:33:02 (8 years ago)
Comment:

--

### Legend:

Unmodified
 v1 == Two Jet Kinematics == 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 %$y_{3,4}$%. 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 $y_{3,4}$. ==== 1. ==== Show that %$x_1 = \frac{p_T}{\sqrt{s}} ( e^{y_3}+ e^{y_4}), x_2 = \frac{p_T}{\sqrt{s}} ( e^{-y_3}+ e^{-y_4})\,.$% Show that $x_1 = \frac{p_T}{\sqrt{s}} ( e^{y_3}+ e^{y_4}), x_2 = \frac{p_T}{\sqrt{s}} ( e^{-y_3}+ e^{-y_4})\,.$ ==== 2. ==== ==== 3. ==== 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 %$||y_{3,4}||<3$%. 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 $||y_{3,4}||<3$. ==== 4. ==== 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). 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