Is emotional processing lateralised in the brain? It was easy for me to find that language processing is lateralised and that creativity/logic processing possibly not (against pop-psychology claims). But which is the current view hold by experts on emotion about the lateralisation of emotion?

Although there is a wikipedia entry suggesting that emotional processing is lateralised in the brain

https://en.wikipedia.org/wiki/Emotional_lateralization

I found that recognised neuroscience books like this: 

Gazzaniga, M. S. The cognitive neurosciences. MIT press.

does not seem to talk about emotional lateralisation. 

Furthermore, I found that the bulk of references about emotional lateralisation are quite old and a meta-analysis of fmri/pet does not show much emotional lateralisation:

Wager, T. D., Phan, K. L., Liberzon, I., &amp; Taylor, S. F. (2003). Valence, gender, and lateralization of functional brain anatomy in emotion: a meta-analysis of findings from neuroimaging. Neuroimage, 19(3), 513-531.
Alright, so I'll give this question a go...  Admittedly, I'm not really familiar with theories of emotion lateralization, but let's look at some meta-analyses for insight!!!

As a quick theoretical note, a single study cannot confirm emotion-related lateralization. The representation of emotions or affect in the brain can change from context to context, person to person, and over time.  This is why we need to rely on meta-analysis (in my opinion)!

Lindquist et al. (2015)

This is a meta-analysis of positive and negative affect in the brain. Overall, the meta-analysis shows large correspondence between the brain regions that are involved in positive vs. negative affect (in favor of a valence-general "workspace").  Moreover, affect seems to be represented bilaterally in most regions as well as right temporal/occipital cortex (see image below).



These areas represent the "salience network," which is involved in self-relevant attention (e.g., to internal bodily sensations and "feelings").



However, the above image shows that the left amygdala and the left insula are more often involved in negative affect than positive affect.  No regions seem to show preference for positive affect over negative affect.

Wager et al. (2015)

This is a meta-analysis using very, very fancy statistical techniques to differentiate among discrete emotion categories (e.g., fear, disgust, anger, etc.).



The above image (B) shows activation intensity in cortex, amygdala, basal ganglia, and thalamus for each emotion.  You can see that some regions are more strongly active for certain emotions in a lateralized manner (R and L mean Right and Left Hemisphere).

The most significant lateralization was for happiness, which showed "left-hemisphere dominance in the hippocampus" (p. 16). 

Conclusion

While these meta-analyses provide interesting clues about emotion lateralization, I'm going to go ahead and say that we don't really know whether emotion is lateralized. Moreover, the idea of "emotional processing" is incredibly vague and is likely constituted by more basic psychological processes (e.g., interoception and exteroception).

The theory about sympathetic/parasympathetic afferent streams to the right vs. left insula seems plausible (outlined in Wikipedia; Craig), especially given the importance of interoception to affect and emotions (Barrett &amp; Simmons, 2015).

However, overall, it's just not clear.