# A Hierarchy problem and Feynmam diagrams

1. May 6, 2017

### nigelscott

I am trying to figure out the Feynman diagrams for the Hierarchy problem. Here's what I have.

(a) is the Higgs self interaction (φ4). It is quadratically divergent with additional logarithmic terms.

(b) is the 1 loop Yukawa correction to the Higgs where F might be the top quark and g is the Yukawa coupling constant. It is also quadratically divergent with additional logarithmic terms.

(c) shows the Higgsino in the supersymmetric model.

(d) shows the sfermion in the supersymmetric model.

My question is "Are these diagrams correct and, in the supersymmetric model, what 'cancels' what?"

Assuming (c) and (d) are valid diagrams, (c) should 'cancel' (a) and (d) should 'cancel' (b). Is this correct? What about other combinations? The literature seems to indicate that (d) would also 'cancel' (a) but I'm not sure why? Also, what can be said about the coupling constants involved in (c) and (d)?

I'm new to this subject so any help would be appreciated. Thanks.

2. May 11, 2017

### PF_Help_Bot

Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.

3. May 15, 2017

### nigelscott

OK, I have modified my question based on some new understanding.

I am trying to verify some of the Feynman diagrams associated with the Higgs hierarchy problem. I have constructed the following.

(a) The self interaction and (c) the Yukawa interaction, represent the 1 loop corrections to the Higgs mass.

(b) Would offset (a).

(d) Would offset (c).

(e) Doesn't work because it violates R-parity.

Am I on the right track?