Changes between Version 1 and Version 2 of 2Jets
- Timestamp:
- Apr 6, 2012, 4:33:02 PM (13 years ago)
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2Jets
v1 v2 3 3 == Two Jet Kinematics == 4 4 5 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 %$y_{3,4}$%.5 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 $y_{3,4}$. 6 6 7 7 ==== 1. ==== 8 8 9 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})\,. $%9 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})\,. $ 10 10 11 11 ==== 2. ==== … … 21 21 ==== 3. ==== 22 22 23 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$%.23 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 $||y_{3,4}||<3$. 24 24 25 25 ==== 4. ==== 26 26 27 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).27 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). 28 28 29 29 … … 45 45 46 46 47