Recent content by Luca_Mantani

  1. Luca_Mantani

    Graduate LSZ formula and Field Strength renormalization factor

    Hi all, I have doubts on the role of the Field Strength renormalization ##Z_\psi=1+\delta_\psi## when computing amplitudes. I never did this, maybe because it was not needed before, but i noticed that in the solution of a specific problem, to obtain the correct result, you need to multiply the...
  2. Luca_Mantani

    Graduate Understanding Fierz Identity Transformations

    Hi, I was calculating some amplitudes and I end up with an expression like this: $$(\bar{c}\gamma^\mu\gamma^\nu\gamma^\rho P_L b)(\bar{d}\gamma_\mu\gamma_\nu\gamma_\rho P_L u)$$ In the solution of the exercise they say that, from the Fierz identity: $$(\bar{c}\gamma^\mu\gamma^\nu\gamma^\rho P_L...
  3. Luca_Mantani

    Graduate Computation of anomalous dimension in MS scheme

    Hi, I am computing the anomalous dimension of a mass operator in the MSbar scheme, but i have a doubt. The following is the solution of an exercise given by a professor but i don't understand a passage. I have computed the counterterm ##\delta## and i have the formula $$\gamma=-\mu...
  4. Luca_Mantani

    Graduate Why is the Integral of Dimensional Regularization Equal to 0?

    I read them in an Eft course, in the video the professor was citing the Collins renormalization book for the proof, but I do not have this book at my disposal now.
  5. Luca_Mantani

    Graduate Why is the Integral of Dimensional Regularization Equal to 0?

    Hi everyone, I read this property of dimensional regularization, but i do not understand why it is so. $$\int d^dp =0$$. Actually looking for an answer i also saw that a general property of dim. reg. is $$\int d^dp \, (p^2)^\alpha=0$$ for any value of ##\alpha##, so also for ##\alpha=0##...
  6. Luca_Mantani

    Graduate Invariant combination of SU(3) states

    Hi everyone, this is something i know because i saw it many times, but i have never fully understand it. Suppose i have a quark field (singlet under SU(2) let's say) ##q## and i would like to build an invariant term to write in the Lagrangian. The obvious choice is to write a mass-term...
  7. Luca_Mantani

    Quantum Book on Quantum Field Theory for PhD

    Yes, i already studied all of them. I would like something that can reinforce the notions i already know and fill the gaps (for example i don't know much about anomalies, i would like to study better renormalization and other stuff). I would also like to see applications and example. So you...
  8. Luca_Mantani

    Quantum Book on Quantum Field Theory for PhD

    So you say Srednicki and Schwartz are not ideal?
  9. Luca_Mantani

    Quantum Book on Quantum Field Theory for PhD

    Hi all. I am looking for a book in Quantum Field Theory, not for the first read. I have already studied it for university purpose, but now i would like to study the subject again from a book to cover holes and have a deeper understanding before starting a possible PhD. I heard about Srednicki...
  10. Luca_Mantani

    Graduate Mono-jet searches for simplified models

    No, sure. Maybe now i got it, we can't use top quarks in the initial state because their parton distribution is too low in the proton and the process would be negligible. So in the first model we got that the interaction is proportional to yukawa couplings, while in the second one not. As a...
  11. Luca_Mantani

    Graduate Mono-jet searches for simplified models

    Why isn't that valid even for the t-channel models? So, you are saying that maybe s-channel models are strongly coupled to the top, while the t-channel are not, so we have a substantial difference in phenomenology between the 2 models?
  12. Luca_Mantani

    Graduate Mono-jet searches for simplified models

    Hi, i am studying Simplified Models for the search of Dark Matter at colliders. In particular there are 2 different kind of models that i am studying that are s-channel and t-channel models. Now, there is something that i don't understand related to the mono-jet process. Here is a paper that...
  13. Luca_Mantani

    Graduate Custodial Symmetry in the Standard Model

    In which sense this is a "approximate" symmetry? How can a symmetry be approximate?
  14. Luca_Mantani

    Graduate Custodial Symmetry in the Standard Model

    Hi, I am reading about this symmetry but I'm struggling to have a deep understanding of it. Would somebody please explain this symmetry to me from a conceptual point of view? Thanks in advance, Luca
  15. Luca_Mantani

    Graduate What is the Interpretation of Running Coupling in MS Scheme?

    I think that my problem is that i don't understand the meaning of the running coupling that depends on ##\mu##. It seems like something artificial, but sometimes is presented as something with physical meaning. For example, how do i choose ##\mu## and ##\mu_0##? Aren't they arbitrary?