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1 vote
1 answer
265 views

Why there is only $t$-channel for $u+\bar d\rightarrow u+\bar d$ scattering?

I am reading Griffith's textbook on particle physics about the $u+\bar d\rightarrow u+\bar d$ scattering for QCD. On page 285, it says there is only one possible channel ($t$-channel): Why there are ...
IGY's user avatar
  • 1,783
2 votes
0 answers
38 views

How to derive Collinear amplitude proportional to Born amplitude

In the collinear limit, the squared matrix element factorises into (for partons 4 and 5 going collinear) \begin{eqnarray} \overline{\sum}|M_3(1+2 \to 3+4+5)|^2 \approx \overline{\sum}|M_2(1+2 \to 3+4')...
Abhinava Danish's user avatar
0 votes
0 answers
54 views

Evolution of the proton without external interactions

I've been thinking about the possibility of the proton evolving without external interactions and came up with the following problem. Let's say we have an isolated proton and therfore the Lagrangian ...
Vicky's user avatar
  • 1,597
1 vote
0 answers
147 views

Soft-gluon of scattering amplitude

The question from Scattering Amplitudes in Gauge Theory and Gravity page 46, equation (2.120) from which I can't get a consistent formula. I just calculate A3(gff) which two fermion and one gluon $A_n\...
shoow's user avatar
  • 11
2 votes
1 answer
80 views

Is Compton Scattering the "Abelian limit" of $qg \rightarrow qg$?

I have calculated the average over initial and sum over final states of the squared amplitude for both Compton scattering $e^-\gamma \rightarrow e^-\gamma$ (QED) and quark-gluon scattering $qg \...
user4580791's user avatar
1 vote
1 answer
368 views

Deep inelastic scattering (DIS) and handbag diagram

Here, in page 11, you can see the so-called 'handbag' diagram that explains how a virtual photon emitted in a deep inelastic scattering (DIS) process interacts with a parton. I'm going to use this ...
Vicky's user avatar
  • 1,597
0 votes
0 answers
99 views

Deep inelastic electron-proton scattering amplitude

In 'QCD and collider Physics' book by Ellis, Stirling and Webber, chapter 4.2 'The parton model from field theory' there is this equation for the amplitude of the process $e^- (k) P \rightarrow e^- (k^...
Vicky's user avatar
  • 1,597
1 vote
1 answer
133 views

Confusion among channel $u$ and channel $t$ in exclusive reactions

In the this paper (https://arxiv.org/abs/1203.4392), on page 2 it is said that Since DVCS amplitude is symmetric under $s \leftrightarrow u$ channel crossing, the CFFs and $^{S}C^i_{\cdots}$ ...
Vicky's user avatar
  • 1,597
1 vote
1 answer
215 views

Elimination of three gluon vertex

I am reading this paper by Dixon, where it is mentioned that one can diagrammatically compute the colour factor of certain Feynman graphs, such as shown in figure 1, where they expand a three gluon ...
Chetan Pandey's user avatar
3 votes
0 answers
70 views

Polarized structure functions and Bjorken sum rule

I'm trying to understand what the Bjorken sum rule and the polarized structure functions entering it are. I will use equation (2.3) here as a reference for asking the question. In Peskin, I've only ...
mavzolej's user avatar
  • 2,921
3 votes
0 answers
356 views

Bjorken Scaling and the Parton Model

It is often said that Bjorken scaling of the deep inelastic structure functions \begin{equation} \nu W_2(\nu ,Q^2)\rightarrow F(x) \end{equation} (where $Q^2$ is the virtuality of the photon, $\nu=\...
Luke's user avatar
  • 2,270
7 votes
1 answer
276 views

What is the mathematical motivation for complexifying momenta in BCFW?

One of the first steps in obtaining the on-shell BCFW recursion relations is complexifying the momenta of the external particles. Now complexifying things is not unprecedented (the dispersion program ...
Alex Shpilkin's user avatar
3 votes
0 answers
194 views

Conversion of QCD cross section formula

I'm writing a program to calculate NLO cross sections for semi-inclusive high-$p_T$ pion production in proton-proton-collisions for my bachelor thesis. I've got a paper describing the production ...
Benedikt's user avatar
  • 337
16 votes
4 answers
4k views

Is forward scattering = no scattering?

What is forward scattering? If it is equivalent to no scattering, then why not call it "no scattering"?
Physics_maths's user avatar
19 votes
2 answers
3k views

Why Cronin Effect Happens?

I'm looking for explanation on Cronin effect but unfortunately there's no Wikipedia entry or self-contained paper to start from. The statement of this effect is that: "At leading order, multiple ...
Yair's user avatar
  • 1,707

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