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The future long baseline experiments such as DUNE and T2HKK have promisingprospects to determine the neutrino mass hierarchy and measuring standard $CP$phase $\delta$. However, presence of possible non-standard interactions ofneutrinos with matter may intricate this picture and is the subject matter ofthe present work. We have studied the standard parameter degeneracies inpresence of non-standard interactions(NSI) with DUNE and T2HKK experiments. Weexamine the mass hierarchy degeneracy assuming (i) all NSI parameters to benon-zero and (ii) one NSI parameter($\epsilon_{e\mu}$) and its corresponding$CP$ phase($\delta_{e\mu}$) to be non-zero. We find that the later case is moreappropriate to resolve mass hierarchy degeneracy with DUNE and T2HKKexperiments due to relatively small uncertainties emanating from the NSIsector. We have, also, investigated the octant degeneracy withneutrino($\nu_{\mu}\rightarrow\nu_{e}$) andantineutrino($\bar{\nu}_{\mu}\rightarrow\bar{\nu}_{e}$) mode separately. Wefind that to resolve this degeneracy the long baseline experiment withcombination of neutrino and antineutrino mode is essential. Furthermore, wehave considered DUNE in conjunction with T2HKK experiment to study $CP$ phasedegeneracy due to standard($\delta$) and non-standard($\delta_{e\mu}$) $CP$phases. We find that DUNE and T2HKK, in conjunction, has more sensitivity for$CP$ violation effects(10$\sigma$ for true NH and 8.2$\sigma$ for true IH).

Non-Standard Interactions and Prospects for Studying Standard Parameter Degeneracies in DUNE and T2HKK