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1 vote
0 answers
28 views

What are the differences of Scalar and Pseudoscalar Yukawa Theory?

I know that some polarized interactions are forbidden. But for unpolarized (summed over incoming and outgoing spins), are the amplitudes and decay rates of a Yukawa scalar and pseudoscalar coupled to ...
3 votes
1 answer
426 views

Is there really a strong CP problem?

The strong CP problem is considered one of the major unsolved physics problems. A non-vanishing value of $\theta$ in QCD $\theta$-term violates CP-symmetry. A primary strong CP violating observable is ...
2 votes
1 answer
242 views

Product of Lorentz invariant factors may be Lorentz non-invariant

I'm evaluating an integral and I have three cases to consider. The result of that integral must be Lorentz invariant and independent of center-of-mass momentum. One of the cases I'm certain is in fact ...
0 votes
1 answer
52 views

Square of the Feynman amplitude for $a +b\to c+d$ and its reverse

In quantum field theory, if a process $a +b\to c+d$ is allowed by a certain interaction Lagrangian (hermitian), the reverse process, $c+d\to a+b$, must also be allowed (as far as I understand) by the ...
0 votes
0 answers
73 views

Mandelstam variables sign

I am self-studying the book "Quantum Field Theory and the Standard Model" by Schwartz, on page 99 (paragraph "Mandelstam variables"), the context is the $2\rightarrow 2$ scattering ...
0 votes
1 answer
232 views

Hypercharge of the complex scalar doublet

I often see the complex scalar doublet $Φ_A$, $A=1,2$ with the opposite hypercharge arising in the Yukawa couplings as $\tildeΦ_A = iτ{_2}_{AB}Φ_B^*$ where $τ_r$ $(r=1,2,3)$ denote isospin pauli ...
13 votes
2 answers
1k views

Classical Dirac equation

In QFT, electromagnetism is represented by the quantum field $\hat{A}_\mu$, and fermions (matter) by the quantum field $\hat\psi$. The same kind of formalism is used for both phenomena, even if the ...
1 vote
0 answers
83 views

Doubt in $e^{+}e^{-}\rightarrow W^{+}W^{-}$ scattering

I am trying to understand how to compute the scattering amplitude for the process $e^{+}e^{-}\rightarrow W^{+}W^{-}$, as a reference one could look at Peskin chapter 21. What I do not understand is ...
0 votes
0 answers
31 views

QCD parton shower hard scale

Currently I'm studying parton showers from QCD and I'm having trouble with understanding how the hard scale $Q$ is related to the virtuality and energy of the parent parton. The Sudakov factor $\Delta(...
0 votes
0 answers
36 views

Difference between jets and inclusive hadron production

I know both jets and inclusive hadron production are measured in high energy collisions. Is the difference just the way you measure it, or are there differences in the process behind them? If you ...
3 votes
2 answers
253 views

Proton decays in Pati-Salam model or Georgi-Glashow model

This Pati-Salam model doesn't predict gauge mediated proton decay, according to Wikipedia. However the Georgi-Glashow model predict gauge mediated proton decay, according to Wikipedia. I thought the ...
2 votes
1 answer
88 views

Why does the mass term not violate particle number conservation in a free theory?

The Lagrangian of a free real scalar field theory is $$ \mathcal{L} = \frac{1}{2} \partial_{\mu} \phi\; \partial^{\mu} \phi \; - \frac{1}{2} m^2 \phi^2. $$ If we decompose $\phi$ in terms of the ...
0 votes
1 answer
70 views

Where is antineutrino in standard model Lagrangian?

I'm somewhat confused by the content I studied in Srednicki's work, where the neutrino is described as a Majorana field. In this framework, there shouldn't technically be antineutrinos, given the ...
1 vote
0 answers
73 views

Is there a Higgs-pole like the $Z$-pole?

Why isn’t there studies of direct Higgs production like for the $Z$ boson? Looking for future colliders, they all aim for $$e-e+ -> HZ $$ which for me makes sense for measuring a physical Higgs but ...
2 votes
1 answer
65 views

Field redefinitions in the Higgs mechanism

Consider the Higg's mechanism for a simple $U(1)$ theory. Leaving aside the lagrangian which consists of a kinetic term for the gauge field, a covariant derivative term and the potential term for the ...

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