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0 votes
0 answers
34 views

Relation bitween Mandelstam Variables in three-body final state

What is the relation between Mandelstam variables in the three body final state? There are 5 independent Mandelstam variables. What is the relationship between them?
Andrea's user avatar
  • 11
1 vote
0 answers
52 views

What is the difference between the center of mass energy of partons, and the invariant mass of the particles after a collision?

In a paper about the Atlas experiment (https://arxiv.org/abs/2103.01918) differential cross sections of $pp→ZZ→4\ell$ are being presented. However these cross-sections are functions of the invariant ...
Ozzy's user avatar
  • 172
1 vote
0 answers
58 views

Reducing Inelastic Electron-Proton's Scattering Cross Section to Rosenbluth's Formula

I'm currently studying electron-proton scattering from Halzen & Martin's book (Quarks & Leptons : An Introductory Course in Modern Particle Physics). I found that the cross section for the ...
Jovan Alfian Djaja's user avatar
5 votes
0 answers
230 views

Another "real vs virtual particle" one: calculate the full diagram or $\sigma \times \mathrm{BR}$?

I have recently been forced to think about something I always thought that I understood but that, in reality, I could not be more confused about. Suppose I want to study the LHC prospects for ...
GaloisFan's user avatar
  • 1,742
2 votes
1 answer
335 views

Calculating Cross Section in terms of barns (help with converting from natural units)

I am trying to calculate the Glashow resonance to get something in terms of barns but I am getting confused switching between natural units and non-natural units. The Glashow Resonance is given by the ...
Schoppe's user avatar
  • 133
1 vote
1 answer
124 views

How to derive the modified Mott formula (with target recoil) using quantum field theory?

The differential cross-section of relativistic point electron off a static Coulomb potential provided by a point charge with density $\rho(\vec x)=e\delta^{(3)}(\vec x)$ is given by the Mott formula (...
Solidification's user avatar
1 vote
0 answers
148 views

QFT Scattering Cross Section Integral

I came across this integral studying QFT regarding what I think it may be the calculation of a 2$\rightarrow$2 particle scattering cross section. $$I = \int \frac{dp_3}{(2\pi)^32E_3} \frac{d p_4}{(2\...
dljarque's user avatar
1 vote
1 answer
22 views

Star equations of hydrostatic equilibrium for a mix of 2 fleebly interacting gases/fluids and interaction term

For a single matter species, the equations of hydrostatic equilibirum for a star are \begin{eqnarray} \nabla^2 \phi &=& 4\pi G \rho\\ \vec{\nabla} P + \rho \vec{\nabla}\phi &=&0 \end{...
Giorgio Busoni's user avatar
1 vote
1 answer
66 views

Meaning of (collider1)x(collider2) in phenomenology papers

In some phenomenology papers in particle physics, often the cross section is shown as a function of some parameter of the model given a certain centre of mass energy of a specific collider. However, ...
StackExchanger's user avatar
3 votes
1 answer
495 views

Phase space factor for a two-body decay

I was trying to understand how pion decays to muons and not electrons because of helicity suppression. So I was trying to figure out the ratio of the decay widths. PDG review for kinematics (...
Crucio's user avatar
  • 131
1 vote
0 answers
104 views

Collinear Divergences and SCET (Soft Collinear Effective Theory)

Can someone elaborate on how to treat collinear divergences in massless fermionic theories, such as the massless QED? Some very basic words on where do we can find such divergences and how to cure ...
schris38's user avatar
  • 3,992
2 votes
2 answers
74 views

How to estimate $d$-wave nuclear scattering cross section?

I would like to estimate the $\ell=2$ ($d$-wave) contribution to elastic scattering cross section (or scattering length) for collisions such as $n$-$n$ and $n$-$p$ at low energy (a few MeV or less). I ...
Andrew Steane's user avatar
3 votes
2 answers
137 views

Luminosity of an elastic proton-proton scatter

Suppose you have a proton beam ($E=500\,\textrm{MeV})$ with a current of $$6 \cdot 10^{-12}\,\textrm{A} $$ that is colliding with a gaseous hydrogen target which is $3\,\textrm{cm}$ thick. The total ...
Blue2001's user avatar
  • 308
1 vote
1 answer
183 views

Do electrons scatter off of the up quarks inside protons and neutrons?

Since they are different types of fermions, and of opposite charge, and the up quark has only 2/3 of a 'full' charge; is its trajectory changed as much by scattering off of a same-charge down quark? ...
Kurt Hikes's user avatar
  • 4,509
0 votes
1 answer
222 views

Kinematics of 4 body decays for Higgs to 4 leptons

I would like to calculate the decay width of the Higgs boson $h$ to 4 leptons via $ZZ^*$ intermediate states. I just did a similar calculation for $h$ to $W^{\pm}$ and 2 fermions via $WW^*$, so I am ...
mkn's user avatar
  • 65

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