All Questions
Tagged with scattering-cross-section phase-space
9
questions
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Amplitude of the process $q \bar q \rightarrow \tau^+ \tau^-H$
I want calculate the cross section of the process $q \bar q \rightarrow \tau^+ \tau^-H$, where the Higgs takes the $vev$. My question is: if the Higgs takes the $vev$ the amplitude of the process is ...
- 11
-1
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1
answer
123
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Integral on phase space
I'd like to integrate the square amplitude in the phase space( in $d^3k/(2\pi)^3 2E_k$ and $d^3k'/(2\pi)^3 2E_k$) where $p$ and $p'$ are the 4-momentum of the input particles, $k$ and $k'$ 4-momentum ...
- 11
1
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39
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Annihilation Scattering Cross-Section $N_{n}+N_{n} \rightarrow \nu_{i} + \nu_{j}$ [closed]
I'm calculating the annihilation scattering cross section for fermionic dark matter candidate. I got the following result for the squared amplitude,
$|\mathcal{M}|^2= \frac{h_{ji}f^{*}_{ij}}{(m^{2}_{{...
0
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1
answer
654
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How to integrate the phase space volume for 2 -> 2 scattering processes?
In the QFT book from Schwartz it is stated that
$$
d\sigma = \frac{1}{4E_1E_2|\vec{v}_1-\vec{v}_2|}|\mathcal{M}|^2 d\Pi_{\text{LIPS}}\tag{5.22}
$$
where
$$
d\Pi_{\text{LIPS}} = (2\pi)^4\delta^4(\sum p)...
- 71
1
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0
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111
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$n$-Body Phase Space Recurrence Relation
On slide 23 of these slides, it is stated that an $n$ body phase space element $d\Phi_n(P; p_1, \ldots, p_n)$ may be decomposed according to the recurrence relation
\begin{align*}
\mathrm{d} \Phi_{n}\...
- 4,780
2
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193
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3-Body Phase in a $2\rightarrow 3$ scattering [closed]
I am trying to calculate Bethe-Heitler cross section for pair production. I am starting from the well known formula
\begin{equation}
d\sigma=\cfrac{1}{2E_1 2E_p}\vert M_0\vert^2(2\pi)^4\delta^4(p_1+p-...
4
votes
1
answer
400
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Gram determinant for the $2\to 3$ scattering cross-section
I'll repeat the part of my previous question regarding the topic:
There is a book of Byckling and Kajantie, "Particle kinematics", discussing in particular (Chapter V) the kinematics of the $2\to 3$ ...
- 8,901
3
votes
1
answer
527
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$2\to 3$ cross-section phase space simplification
Suppose the $2\to 3$ cross-section:
$$
\sigma = (2\pi)^4\int \frac{d^{3}\mathbf p_{3}}{(2\pi)2E_{3}}\frac{d^{3}\mathbf p_{4}}{(2\pi)^{3}2E_{4}}\frac{d^{3}\mathbf p_{5}}{(2\pi)^{3}2E_{5}}|M(\mathbf p_{...
- 8,901
0
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1
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275
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Differential cross section $d\sigma/dp^{\gamma}_{T}$?
Why we care about $d\sigma/dp^{\gamma}_{T}$? What the physical meaning of it?
Why not plot $\sigma$ follow $p^{\gamma}_{T}$?. As in this picture.
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