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0 votes
1 answer
77 views

How can I calculate the cross section in general?

How can I calculate the cross-section of a process with three possible Feynman diagrams? I usually see examples with only the scattering amplitude defined by the $t$ channel, but if the scattering ...
LittleBlue's user avatar
0 votes
0 answers
45 views

feynman scalar integral with on-shell condition

There are many integration written down in the standard QFT textbooks for scalar integrals in the computation of matrix elements. For example, in Peskin and Schroeder, we see $$\int \frac{d^d \ell_E}{(...
Quantization's user avatar
1 vote
1 answer
100 views

Inverse muon decay on Mandl shaw- Help on $W$ boson propagator

Hello, I cannot understand why here the other term of the propagator of $W$ boson $k^{\alpha} k^{\beta}/m_{W}^{2}$ is not present, and how/if this absence is linked to the fact that we neglect terms ...
A22MS's user avatar
  • 11
1 vote
1 answer
112 views

How do we interpret disconnected diagrams in scattering theory?

It is apparent that disconnected diagram contributes additional delta functions to the corresponding matrix element. For example, we consider the scalar $\phi^3$ theory and the following $2\...
Bababeluma's user avatar
1 vote
0 answers
34 views

Cross-section of pair creation via vitual photons not positive definite

Consider the process of pair creation via two virtual photons, i.e. $\gamma^*(k_1)+\gamma^*(k_2) \rightarrow l^-(p_1)+l^+(p_2)$, where the dilepton (or any other fermions) can be massless or massive, ...
Raymond Chen's user avatar
2 votes
2 answers
900 views

Scalar QED differential cross section

I have a question that I'm struggling to solve. Here is the background: In scalar QED, the electron is replaced by a charged scalar particle $\phi$, and its corresponding antiparticle $\phi^{*}$, ...
Christian Lind's user avatar
0 votes
0 answers
104 views

How to compute unpolarized cross section for $e^−+\gamma \to e^−+\pi$

I need some help with this calculation. I have already made a few attempts but, even applying Feynman's rules for QED on the first vertex and for Yukawa interaction on the second one, I cannot figure ...
Quasar818's user avatar
2 votes
2 answers
229 views

Order of spinors in an equation for a Feynman diagram or contraction

I'm going over scattering theory in Peskin and Schroeder book, in his chapter on fermion scattering he wrote a specific contraction and the equation describing it One thing he didn't mention is the ...
Raeed Mundow's user avatar
3 votes
1 answer
401 views

Two identical output particles in decay and scattering process in quantum field theory

I am troubled for if we need to divide the factor of $2$ for two identical output states in decay and scattering process in quantum field theory. Consider Peskin and Schroeder's QFT book, on page 127, ...
Daren's user avatar
  • 1,421
1 vote
1 answer
563 views

Scalar QED - pair annihilation into photon cross section

I just spent the last three days trying to compute the cross section of a process of pair annihilation of complex scalars to a pair of photon in scalar QED. For some reason I don't seem to be able to ...
nigriqft's user avatar
2 votes
2 answers
504 views

Electron Muon scattering in the CM frame, question about the energy

I calculated the spin-averaged amplitude for the $e^{-}\mu^{-} \rightarrow e^{-}\mu^{-}$ scattering in the CM frame in the high energy regime($m_{e}$,$m_{\mu} \rightarrow 0$) following the hints ...
Caue Evangelista's user avatar
-1 votes
1 answer
69 views

Why in $e^+ e^-\rightarrow \mu^+ \mu^-$ there is only two $S_F$ propagator instead of four from path integral?

This was a homework to calculate the $e^+ e^-\rightarrow \mu^+ \mu^-$ following Peskin & Schroeder chapter 5.1. However, I got confused with the path integral aspect of the calculation.(Which was ...
ShoutOutAndCalculate's user avatar
1 vote
0 answers
133 views

Simplicity of the electron positron anhilation amplitude at the tree level $e^+ e^-\rightarrow \gamma \gamma$

The calculation for the electron positron annihilation to 2 photons amplitude takes up 5 pages in $\LaTeX$, and the answer is astonishingly simple $$\mathcal{M}=-4g_e^2.$$ Even Griffiths notes this ...
user avatar
4 votes
0 answers
478 views

Graviton-graviton scattering in tree level. Based on a talk by Bryce DeWitt

In this talk given by Bryce DeWitt, at page 6 he mentions a problem he gave to one of his PhD students. The problem is to compute the graviton-graviton scattering amplitude in tree level approximation....
user avatar
6 votes
2 answers
2k views

Elastic Proton-Proton Scattering at tree level

Hello im trying compute the Cross section of an elastic proton-proton scattering and my results are beyond terrrible and i can't figure out where my mistakes lie. I'm going to describe what i tried to ...
Μπαμπης Ποζουκιδης's user avatar

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